natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called ''Cardinal n ...
following 47 and preceding 49. It is one third of a gross, or four dozens.
In mathematics
Forty-eight is the
double factorial
In mathematics, the double factorial or semifactorial of a number , denoted by , is the product of all the integers from 1 up to that have the same parity (odd or even) as . That is,
:n!! = \prod_^ (n-2k) = n (n-2) (n-4) \cdots.
For even , the ...
highly composite number
__FORCETOC__
A highly composite number is a positive integer with more divisors than any smaller positive integer has. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller ...
. Like all other multiples of 6, it is a
semiperfect number
In number theory, a semiperfect number or pseudoperfect number is a natural number ''n'' that is equal to the sum of all or some of its proper divisors. A semiperfect number that is equal to the sum of all its proper divisors is a perfect number.
...
. 48 is the second 17- gonal number.
48 is the smallest number with exactly ten divisors.
There are 11 solutions to the equation φ(''x'') = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a
highly totient number A highly totient number k is an integer that has more solutions to the equation \phi(x) = k, where \phi is Euler's totient function, than any integer below it. The first few highly totient numbers are
1, 2, 4, 8, 12, 24, 48, 72, 144, 240, ...
.
Since the greatest prime factor of 482 + 1 = 2305 is 461, which is clearly more than twice 48, 48 is a Størmer number.
48 is a
Harshad number
In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base.
Harshad numbers in base are also known as -harshad (or -Niven) numbers.
Harshad numbers ...
in base 10. It has 24, 2, 12, and 4 as factors.
In science
*The
atomic number
The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of every ...
of
cadmium
Cadmium is a chemical element with the symbol Cd and atomic number 48. This soft, silvery-white metal is chemically similar to the two other stable metals in group 12, zinc and mercury. Like zinc, it demonstrates oxidation state +2 in most of ...
.
*The number of
Ptolemaic Ptolemaic is the adjective formed from the name Ptolemy, and may refer to:
Pertaining to the Ptolemaic dynasty
* Ptolemaic dynasty, the Macedonian Greek dynasty that ruled Egypt founded in 305 BC by Ptolemy I Soter
* Ptolemaic Kingdom
Pertaining ...
constellation
A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object.
The origins of the e ...
s.
*The number of
symmetries
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definiti ...
of a
cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross.
The cube is the only r ...
open cluster
An open cluster is a type of star cluster made of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age. More than 1,100 open clusters have been discovered within the Milky Way galaxy, and ...
in the
constellation
A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object.
The origins of the e ...
Hydra
Hydra generally refers to:
* Lernaean Hydra, a many-headed serpent in Greek mythology
* ''Hydra'' (genus), a genus of simple freshwater animals belonging to the phylum Cnidaria
Hydra or The Hydra may also refer to:
Astronomy
* Hydra (constel ...
.
*The
New General Catalogue
The ''New General Catalogue of Nebulae and Clusters of Stars'' (abbreviated NGC) is an astronomical catalogue of deep-sky objects compiled by John Louis Emil Dreyer in 1888. The NGC contains 7,840 objects, including galaxies, star clusters and ...
NGC 48
The New General Catalogue object NGC 48 is a barred spiral galaxy located approximately 79.3 million light-years from the Solar System in the constellation Andromeda.
See also
* Spiral galaxy
* List of NGC objects (1–1000)
* Andromeda (co ...
prophet
In religion, a prophet or prophetess is an individual who is regarded as being in contact with a divine being and is said to speak on behalf of that being, serving as an intermediary with humanity by delivering messages or teachings from the s ...
Mishnah
The Mishnah or the Mishna (; he, מִשְׁנָה, "study by repetition", from the verb ''shanah'' , or "to study and review", also "secondary") is the first major written collection of the Jewish oral traditions which is known as the Oral Torah ...
,
Torah
The Torah (; hbo, ''Tōrā'', "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. In that sense, Torah means the s ...
wisdom is acquired via 48 ways ( Pirkei Avoth 6:6).
*In
Buddhism
Buddhism ( , ), also known as Buddha Dharma and Dharmavinaya (), is an Indian religion or philosophical tradition based on teachings attributed to the Buddha. It originated in northern India as a -movement in the 5th century BCE, and gra ...
, Amitabha Buddha had made 48 great vows and promises to provide ultimate salvation to countless beings through countless eons, with benefits said to be available merely by thinking about his name with Nianfo practice. He is thus hailed as "King of Buddhas" through such skillful compassion and became a popular and formal refuge figure in
Pureland Buddhism
Pure Land Buddhism (; ja, 浄土仏教, translit=Jōdo bukkyō; , also referred to as Amidism in English,) is a broad branch of Mahayana Buddhism focused on achieving rebirth in a Buddha's Buddha-field or Pure Land. It is one of the most widel ...
.
In music
* Johann Sebastian Bach's ''
Well-Tempered Clavier
''The Well-Tempered Clavier'', BWV 846–893, consists of two sets of preludes and fugues in all 24 major and minor keys for keyboard by Johann Sebastian Bach. In the composer's time, ''clavier'', meaning keyboard, referred to a variety of in ...
'' is informally known as because it consists of a prelude and a fugue in each major and minor key, for a total of forty-eight pieces.
* "48" is a song by Sunny Day Real Estate.
* "48" is a song by Tyler, The Creator.
* "Forty eight" is a song by
Truckfighters
Truckfighters are a Swedish rock band from Örebro, formed in 2001.
History
Truckfighters was formed in Örebro, Sweden in 2001. After releasing EPs in 2001 and 2002, they recorded a split-EP with local Swedish band Firestone in 2003. In 2 ...
on their 2007 album, ''Phi.''
* "48 Hour Parole" is a song by the Hollies.
* "
48 Crash
"48 Crash" is Suzi Quatro's third solo single and was released after " Can the Can". It was included on her debut album ''Suzi Quatro'' (known as ''Can the Can'' in Australia). It later appeared as a track on her 1995 album ''What Goes Around''. ...
" is a song by Suzi Quatro.
* Familiar 48 is an alternative pop/rock band formerly known as Bonehead.
* On Tool's album ''Ænima'', there is a song named "
Forty-Six & 2
"Forty Six & 2" is a song by the American progressive metal band Tool. It was released as the fourth single from their second major record release ''Ænima'' in 1996 and received radio airplay.
Title and theme
A popular belief is that the song ...
"; the sum of which is 48.
*
AKB48 Group
, or AKB48 sister groups, shortened to 48 Group, 48g, refers to the sister groups of the Japanese idol girl group AKB48. Based on the same concept "idols you can meet", it currently consists of 5 sister groups in locations across Japan and 7 si ...
is a Japanese female idol group.
In sports
*48 is the total number of minutes in a full
NBA
The National Basketball Association (NBA) is a professional basketball league in North America. The league is composed of 30 teams (29 in the United States and 1 in Canada) and is one of the major professional sports leagues in the United St ...
game.
In other fields
Forty-eight may also refer to:
* the code for international direct dial phone calls to
Poland
Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous ...
.
* the model number of the HP-48 S/SX/G/GX/G+/GII.
* the
48 Hour Film Project
The 48 Hour Film Project is an annual film competition in which teams of filmmakers are assigned a genre, a character, a prop, and a line of dialogue, and have 48 hours to create a short film containing those elements. The competition has been ac ...
.
* '' The First 48'', an American crime program, 2004-present.
* '' 48 Hours'' is a television news program on CBS.
* ''
48 Hrs.
''48 Hrs.'' (pronounced 'forty-eight hours') is a 1982 American buddy cop action-comedy film directed by Walter Hill, who co-wrote the film with Larry Gross, Steven E. de Souza and Roger Spottiswoode. It stars Nick Nolte and Eddie Murphy, the ...
Eddie Murphy
Edward Regan Murphy (born April 3, 1961) is an American actor, comedian, writer, producer, and singer. He rose to fame on the sketch comedy show ''Saturday Night Live'', for which he was a regular cast member from 1980 to 1984. Murphy has als ...
, followed by ''
Another 48 Hrs.
''Another 48 Hrs.'' is a 1990 American buddy cop film directed by Walter Hill (director), Walter Hill and starring Eddie Murphy, Nick Nolte, Brion James, Andrew Divoff, and Ed O'Ross. It is the sequel to the 1982 film ''48 Hrs.'' Nolte reprises h ...
''
*
Arizona
Arizona ( ; nv, Hoozdo Hahoodzo ; ood, Alĭ ṣonak ) is a state in the Southwestern United States. It is the 6th largest and the 14th most populous of the 50 states. Its capital and largest city is Phoenix. Arizona is part of the Fou ...
United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territorie ...
(excluding Alaska and Hawaii) are also referred to as the "Lower 48" or the "48 contiguous states".
* '' '48'' is an alternate history novel by James Herbert.
* '' The 48 Laws of Power'' is a book by Robert Greene.
* The number 48 in
ASCII
ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...
is what you add to any single digit integer to convert to its ASCII value.
*
MAC address
A media access control address (MAC address) is a unique identifier assigned to a network interface controller (NIC) for use as a network address in communications within a network segment. This use is common in most IEEE 802 networking techno ...
byte
The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable unit ...
Lozère
Lozère (; oc, Losera ) is a landlocked department in the region of Occitanie in Southern France, located near the Massif Central, bounded to the northeast by Haute-Loire, to the east by Ardèche, to the south by Gard, to the west by Aveyron, ...
.
* a model of
Harley-Davidson
Harley-Davidson, Inc. (H-D, or simply Harley) is an American motorcycle manufacturer headquartered in Milwaukee, Wisconsin, United States. Founded in 1903, it is one of two major American motorcycle manufacturers to survive the Great Depressi ...
numerology
Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ...
, 48 is an auspicious number meaning 'determined to prosper', or simply 'prosperity'; which is good for business.
* 48 is the number of mountain peaks in New Hampshire over 4000 feet above sea level, as defined by the Appalachian Mountain Club.
* '48 is a slang term in
Palestinian Arabic
Palestinian Arabic is a dialect continuum of mutually intelligible varieties of Levantine Arabic spoken by most Palestinians in Palestine, Israel and in the Palestinian diaspora. Together with Jordanian Arabic, it has the ISO 639-3 language code ...
for parts of
Israel
Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated ...
or
Palestine
__NOTOC__
Palestine may refer to:
* State of Palestine, a state in Western Asia
* Palestine (region), a geographic region in Western Asia
* Palestinian territories, territories occupied by Israel since 1967, namely the West Bank (including East ...
not under the control of the State of Palestine. Arab people from those parts are colloquially known as 48 Arabs (Arabic: فلسطينيو 48، عرب 48, Filastiniyyū Thamaniya Wa-Arba'in, Arab Thamaniya Wa-Arba'in).