Properties of the Number 78552

Seventy-Eight Thousand Five Hundred Fifty-Two

Basics

Value: 78551 → 78552 → 78553

Parity: even

Prime: No

Previous Prime: 78541

Next Prime: 78553

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 1091

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011001011011000

Octal: 231330

Duodecimal: 39560

Hexadecimal: 132d8

Square: 6170416704

Square Root: 280.2712971390399

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

Number of n X n arrays of squares of integers summing to 5 with every element equal to at least one neighbor. A146124

Number of length n+7 0..2 arrays with at most one downstep in every n consecutive neighbor pairs. A255114

T(n,k)=Number of length n+k 0..2 arrays with at most one downstep in every k consecutive neighbor pairs. A255107

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n+2·r+k,r) * binomial(r,n-r)/(n+2·r+k) for k > 0. A378290

Largest prime dividing σ(3,n). A78552