50001 to 50999

• 50069 = 1¹ + 2² + 3³ + 4⁴ + 5⁵ + 6⁶
• 50400 = highly composite number^[1]
• 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^[2]
• 51984 = 228² = 37³ + 11³. the smallest square to the sum of only five distinct fourth powers.

52000 to 52999

• 52488 = 3-smooth number
• 52633 = Carmichael number^[3]

53000 to 53999

• 53016 = pentagonal pyramidal number
• 53361 = 231² sum of the cubes of the first 21 positive integers

54000 to 54999

• 54205 = Zeisel number^[4]
• 54688 = 2-automorphic number^[5]
• 54748 = narcissistic number^[6]
• 54872 = 38³, palindromic in base 9 (83238₉)
• 54901 = chiliagonal number^[7]

55000 to 55999

• 55296 = 3-smooth number
• 55440 = superior highly composite number;^[8] colossally abundant number^[9]
• 55459 = one of five remaining Seventeen or Bust numbers in the Sierpinski problem
• 55555 = repdigit
• 55860 = harmonic divisor number^[10]
• 55987 = repunit prime in base 6

56000 to 56999

• 56011 = Wedderburn-Etherington number^[11]
• 56092 = the number of groups of order 256, see
• 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^[12]
• 58921 = Friedman prime

59000 to 59999

• 59049 = 243² = 9⁵ = 3¹⁰
• 59051 = Friedman prime
• 59053 = Friedman prime
• 59081 = Zeisel number^[4]
• 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.