50,000

From HandWiki

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[1]
  • 50400 = 27th highly composite number[2]
  • 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[3]
  • 51984 = 2282 = 373 + 113, the smallest square to the sum of only five distinct fourth powers.

52000 to 52999

53000 to 53999

  • 53016 = pentagonal pyramidal number
  • 53174 = number of partitions of 42[5]
  • 53361 = 2312 sum of the cubes of the first 21 positive integers

54000 to 54999

55000 to 55999

56000 to 56999

  • 56011 = Wedderburn-Etherington number[14]
  • 56092 = the number of groups of order 256, see [1]
  • 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[15]
  • 58921 = Friedman prime

59000 to 59999

  • 59049 = 2432 = 95 = 310
  • 59051 = Friedman prime
  • 59053 = Friedman prime
  • 59081 = Zeisel number[6]
  • 59263 = Friedman prime
  • 59273 = Friedman prime
  • 59319 = 393
  • 59536 = 2442, palindromic in base 11 (4080411)

Primes

There are 924 prime numbers between 50000 and 60000.

References

  1. "A001923 - OEIS". https://oeis.org/search?q=A001923&language=english&go=Search. 
  2. "Sloane's A002182 : Highly composite numbers". OEIS Foundation. https://oeis.org/A002182. 
  3. "Sloane's A002559 : Markoff (or Markov) numbers". OEIS Foundation. https://oeis.org/A002559. 
  4. "Sloane's A002997 : Carmichael numbers". OEIS Foundation. https://oeis.org/A002997. 
  5. Sloane, N. J. A., ed. "Sequence A000041 (a(n) is the number of partitions of n (the partition numbers))". OEIS Foundation. https://oeis.org/A000041. 
  6. 6.0 6.1 "Sloane's A051015 : Zeisel numbers". OEIS Foundation. https://oeis.org/A051015. 
  7. Sloane, N. J. A., ed. "Sequence A030984 (2-automorphic numbers)". OEIS Foundation. https://oeis.org/A030984. Retrieved 2021-09-01. 
  8. "Sloane's A005188 : Armstrong (or Plus Perfect, or narcissistic) numbers". OEIS Foundation. https://oeis.org/A005188. 
  9. "Sloane's A195163 : 1000-gonal numbers". OEIS Foundation. https://oeis.org/A195163. 
  10. "Sloane's A002201 : Superior highly composite numbers". OEIS Foundation. https://oeis.org/A002201. 
  11. "Sloane's A004490 : Colossally abundant numbers". OEIS Foundation. https://oeis.org/A004490. 
  12. "A002182 - OEIS". https://oeis.org/A002182. 
  13. "Sloane's A001599 : Harmonic or Ore numbers". OEIS Foundation. https://oeis.org/A001599. 
  14. "Sloane's A001190 : Wedderburn-Etherington numbers". OEIS Foundation. https://oeis.org/A001190. 
  15. "Sloane's A00108 : Catalan numbers". OEIS Foundation. https://oeis.org/A000108.