Properties of the Number 52016

Fifty-Two Thousand Sixteen

Basics

Value: 52015 → 52016 → 52017

Parity: even

Prime: No

Previous Prime: 52009

Next Prime: 52021

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 3251

Divisors: 1, 2, 4, 8, 16, 3251, 6502, 13004, 26008, 52016

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1100101100110000

Octal: 145460

Duodecimal: 26128

Hexadecimal: cb30

Square: 2705664256

Square Root: 228.07016464237492

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

Powers of cube root of 2 rounded up. A17981

Powers of cube root of 2 rounded to nearest integer. A17980

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234681

Starts of runs of 3 consecutive numbers with the same total binary weight of their divisors (A093653). A338453

Expansion of ∏_k>=1 (1 + A001055(k)*x^k). A66816

Least number·such that xⁿ has n digits equal to k. Case k = 2. A285449

Expansion of (1/x) * Series_Reversion( x * (4 * (1 - x)² - 3) ). A393420

Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value and 0..n occur with instance counts within one of each other. A200943

Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234674

Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234679