50,000
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50,000 (fifty thousand) is the natural number that comes after 49,999 and before 50,001.


Selected numbers in the range 50001–59999


50001 to 50999

* 50069 = 11 + 22 + 33 + 44 + 55 + 66 * 50400 = 27th
highly composite number A highly composite number is a positive integer that has more divisors than all smaller positive integers. If ''d''(''n'') denotes the number of divisors of a positive integer ''n'', then a positive integer ''N'' is highly composite if ''d''(' ...
* 50625 = 154, smallest fourth power that can be expressed as the sum of only five distinct fourth powers, palindromic in base 14 (1464114) * 50653 = 373, palindromic in base 6 (10303016)


51000 to 51999

* 51076 = 2262, palindromic in base 15 (1020115) * 51641 =
Markov number A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation :x^2 + y^2 + z^2 = 3xyz,\, studied by . The first few Markov numbers are :1 (number), 1, 2 (number), ...
* 51984 = 2282 = 373 + 113, the smallest square to the sum of only five distinct fourth powers.


52000 to 52999

* 52488 = 3-
smooth number In number theory, an ''n''-smooth (or ''n''-friable) number is an integer whose prime factors are all less than or equal to ''n''. For example, a 7-smooth number is a number in which every prime factor is at most 7. Therefore, 49 = 72 and 15750 = 2 ...
* 52633 =
Carmichael number In number theory, a Carmichael number is a composite number which in modular arithmetic satisfies the congruence relation: : b^n\equiv b\pmod for all integers . The relation may also be expressed in the form: : b^\equiv 1\pmod for all integers b ...


53000 to 53999

* 53016 = pentagonal pyramidal number * 53174 = number of partitions of 42 * 53361 = 2312 sum of the cubes of the first 21 positive integers


54000 to 54999

* 54205 = Zeisel number * 54688 = 2- automorphic number * 54748 = narcissistic number * 54872 = 383, palindromic in base 9 (832389) * 54901 = chiliagonal number


55000 to 55999

* 55296 = 3-
smooth number In number theory, an ''n''-smooth (or ''n''-friable) number is an integer whose prime factors are all less than or equal to ''n''. For example, a 7-smooth number is a number in which every prime factor is at most 7. Therefore, 49 = 72 and 15750 = 2 ...
* 55440 = the 9th
superior highly composite number In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is defined by a ratio between the number of divisors an integer has and that integer raised to s ...
; the 9th colossally abundant number, the 28th
highly composite number A highly composite number is a positive integer that has more divisors than all smaller positive integers. If ''d''(''n'') denotes the number of divisors of a positive integer ''n'', then a positive integer ''N'' is highly composite if ''d''(' ...
. * 55459 = one of five remaining Seventeen or Bust numbers in the Sierpinski problem * 55555 = repdigit * 55860 = harmonic divisor number * 55987 = repunit prime in base 6


56000 to 56999

* 56011 = Wedderburn-Etherington number * 56092 = the number of groups of order 256, se

* 56169 = 2372, palindromic in octal (155518) * 56448 = pentagonal pyramidal number


57000 to 57999

* 57121 = 2392, palindromic in base 14 (16B6114)


58000 to 58999

* 58081 = 2412, palindromic in base 15 (1232115) * 58367 = smallest integer that cannot be expressed as a sum of fewer than 1079 tenth powers * 58786 =
Catalan number The Catalan numbers are a sequence of natural numbers that occur in various Enumeration, counting problems, often involving recursion, recursively defined objects. They are named after Eugène Charles Catalan, Eugène Catalan, though they were p ...
* 58921 = Friedman prime


59000 to 59999

* 59049 = 2432 = 95 = 310 * 59051 = Friedman prime * 59053 = Friedman prime * 59081 = Zeisel number * 59263 = Friedman prime * 59273 = Friedman prime * 59319 = 393 * 59536 = 2442, palindromic in base 11 (4080411)


Primes

There are 924
prime numbers A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
between 50000 and 60000.


References

{{Integers, 10 50000