Properties of the Number 52072

Fifty-Two Thousand Seventy-Two

Basics

Value: 52071 → 52072 → 52073

Parity: even

Prime: No

Previous Prime: 52069

Next Prime: 52081

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 23 × 283

Divisors: 1, 2, 4, 8, 23, 46, 92, 184, 283, 566

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101101101000

Octal: 145550

Duodecimal: 26174

Hexadecimal: cb68

Square: 2711493184

Square Root: 228.19290085364182

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 binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally. A188747

Number of partitions of n with even number (or 0) 2's. A92295

Number of 3-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. A186852

Numbers k such that the decimal part of k^1/7 starts with a 'nine digits' anagram. A34282

Number of nX3 binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally. A188741

Number of 6Xn binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally. A188751

a(n) = 2ⁿ+(1+(n mod 2)/2)*C(n+1,floor((n+(n mod 2))/2))-1. A261682

Smallest cubes whose digits occur with the same frequency n. A52072