Properties of the Number 59952

Fifty-Nine Thousand Nine Hundred Fifty-Two

Basics

Value: 59951 → 59952 → 59953

Parity: even

Prime: No

Previous Prime: 59951

Next Prime: 59957

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 1249

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101000110000

Octal: 165060

Duodecimal: 2A840

Hexadecimal: ea30

Square: 3594242304

Square Root: 244.85097508484625

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 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of three or less, with rows and columns of the latter in lexicographically nondecreasing order. A227269

Antidiagonal sums of the convolution array A213558. A213560

Expansion of φ(x)² / φ(-x²) in powers of·where φ() is a Ramanujan θ function. A260314

Number of nX5 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X6 binary array having a sum of three or less, with rows and columns of the latter in lexicographically nondecreasing order. A227268

Numbers k such that Bernoulli number B_k has denominator 46410. A295590

Ordering of a deck of 52 cards after an in-shuffle. A59952