Properties of the Number 52199

Fifty-Two Thousand One Hundred Ninety-Nine

Basics

Value: 52198 → 52199 → 52200

Parity: odd

Prime: No

Previous Prime: 52189

Next Prime: 52201

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 7457

Divisors: 1, 7, 7457, 52199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101111100111

Octal: 145747

Duodecimal: 2625B

Hexadecimal: cbe7

Square: 2724735601

Square Root: 228.47100472488845

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

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * [R_n·k(y)]^n·k for n>=0, with R₀(y)=1/(1-y). A124560

T(n,k) = Number of n X k 0..1 arrays with each 1 horizontally or vertically adjacent to 0 or 2 1's. A295051

Row 4 of table A124560; also, the self-convolution 4th power equals A124554, which is row 4 of table A124550. A124564

a(n) = 58·n² - 1. A158668

Number of balanced numbers <= 2ⁿ. A78662

Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0 or 2 1s. A295047

Number of nX6 0..1 arrays with each 1 horizontally or vertically adjacent to 0 or 2 1s. A295049

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 00100-00100-00100-11111 pattern in any orientation. A147322

Numbers that are expressible as the sum of 2 distinct positive squares in more ways than any smaller number. A52199