Properties of the Number 58752

Fifty-Eight Thousand Seven Hundred Fifty-Two

Basics

Value: 58751 → 58752 → 58753

Parity: even

Prime: No

Previous Prime: 58741

Next Prime: 58757

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ³ × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1110010110000000

Octal: 162600

Duodecimal: 2A000

Hexadecimal: e580

Square: 3451797504

Square Root: 242.38811852068986

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 nXk 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once. A269052

Number of tilings of a 5 X n rectangle using n pentominoes of shapes L, X. A234312

Number of orthogonal 3 X 3 matrices over the ring Z/nZ. A264083

Numbers k that divide τ(k)*σ(k). A71707

Numbers k such that squarefree part of σ(k) is equal to squarefree part of 2·k. A331752

a(n) = ∑_{k=0..floor(n/3)} 2^k * binomial(k,n-3·k)². A387477

a(n+2) = a(n+1)*a(n)*(a(n+1)+a(n)). A66091

Numbers k such that the product of divisors of σ(k) is divisible by the product of divisors of k. A219362

A divisibility sequence: (1/8)*(Pell(4·n) - 2·Pell(2·n)). A273627

Numbers n such that the set of prime divisors of n is equal to the set of prime divisors of sum of proper divisors of n while n is not in A027598. A286876