Properties of the Number 51458

Fifty-One Thousand Four Hundred Fifty-Eight

Basics

Value: 51457 → 51458 → 51459

Parity: even

Prime: No

Previous Prime: 51449

Next Prime: 51461

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 11 × 2339

Divisors: 1, 2, 11, 22, 2339, 4678, 25729, 51458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100100000010

Octal: 144402

Duodecimal: 25942

Hexadecimal: c902

Square: 2647925764

Square Root: 226.84355842738844

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order. A205361

Number of solutions to 1³*k₁ + 2³*k₂ + ... + n³*k_n = 1, where k_i are from {-1,0,1}, i=1..n. A369735

Number of binary strings of length n with no substrings equal to 0000 0010 or 1101. A164424

Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order. A205355

Number of (n+1)X6 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order. A205358

a(n) = 2ⁿ * ∏_k=1..(n-1)/2 (2 + 3·cos(k*π/n)²). A152120

(Terms in A029631)/2. A51458