Properties of the Number 47750

Forty-Seven Thousand Seven Hundred Fifty

Basics

Value: 47749 → 47750 → 47751

Parity: even

Prime: No

Previous Prime: 47743

Next Prime: 47777

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 ³ × 191

Divisors: 1, 2, 5, 10, 25, 50, 125, 191, 250, 382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101010000110

Octal: 135206

Duodecimal: 23772

Hexadecimal: ba86

Square: 2280062500

Square Root: 218.51773383412157

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

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

Least k>0 such that a centered polygonal number nk(k+1)/2+1 is a perfect square; or -1 if no such number exists. A120744

The hyper-Wiener index of the fullerenyl anion G[n]C[60], defined pictorially in the Arezoomand reference (see Fig. 5). A221017

Maximal coefficient of (1 - x) * (1 - x⁸) * (1 - x²⁷) * ... * (1 - x^n³). A369764

Coefficient of the irreducible character of S_m indexed by (m-2n+2,2n-2) in the n-th Kronecker power of the representation indexed by (m-2,2). A90809

The hyper-Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference. A224466

Numbers k such that k | 6^k + 5^k + 4^k + 3^k + 2^k. A57256

a(n) = (n + 1)*(6·n² + 15·n + 4)/2. A269232

If n mod 2 = 0 then m := n/2 and a(n) = (3·m)!*(5·m+1)/((m+1)!*(2·m+1)!); otherwise m := (n-1)/2, a(n) = 6*(3·m+2)!/(m!*(2·m+3)!). A47750