Properties of the Number 51840

Fifty-One Thousand Eight Hundred Forty

Basics

Value: 51839 → 51840 → 51841

Parity: even

Prime: No

Previous Prime: 51839

Next Prime: 51853

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ⁴ × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1100101010000000

Octal: 145200

Duodecimal: 26000

Hexadecimal: ca80

Square: 2687385600

Square Root: 227.68399153212331

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of reduced words of length n in the Weyl group E₆ on 6 generators and order 51840. A161409

12-almost primes (generalization of semiprimes). A69273

Stirling's formula: denominators of asymptotic series for γ function. A1164

Triangle read by rows: T(n,k) is the number of permutations of n elements that have the longest cycle length k. A126074

Order of universal Chevalley group B_n (3). A3920

Highly totient numbers: each number k on this list has more solutions to the equation φ(x) = k than any preceding k (where φ is Euler's totient function, A000010). A97942

Triangle T(n,k) is the number of permutations on n elements with at least one k-cycle for 1 <= k <= n. A293211

a(0) = a(1) = a(2) = 0; a(n) = n!/(n-2) for n > 2. A52747

a(n) = (1/2) * (number of n X n 0..2 matrices M with MM' mod 3 = I, where M' is the transpose of M and I is the n X n identity matrix). A71302

Number of n-step excursions on the 4-dimensional f.c.c. lattice. A271432