Properties of the Number 55252

Fifty-Five Thousand Two Hundred Fifty-Two

Basics

Value: 55251 → 55252 → 55253

Parity: even

Prime: No

Previous Prime: 55249

Next Prime: 55259

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 19 × 727

Divisors: 1, 2, 4, 19, 38, 76, 727, 1454, 2908, 13813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101011111010100

Octal: 153724

Duodecimal: 27B84

Hexadecimal: d7d4

Square: 3052783504

Square Root: 235.05743978866101

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 with top left value 1 and no two ones adjacent horizontally, vertically or antidiagonally. A228482

Central decanomial coefficients: largest coefficient of (1 + x + ... + x⁹)ⁿ. A25015

Number of ordered solutions to x+y+z = u+v+w, 0 <= x, y, z, u, v, w < n. A71816

The Lucky Tickets Problem. A174061

Numbers k such that 2^{2·k - 1} - 1 is prime. A138576

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(n,k) is the constant term in the expansion of ( ∑_j=1..k x_j^2·j-1 + x_j^-(2·j-1) )^2·n. A329020

Number of 7-step self-avoiding walks on an n X n square summed over all starting positions. A188152

Number of n-digits integers for which the sum of the odd-positioned digits equals the sum of the even-positioned digits. A197357

Number of n X 4 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or antidiagonally. A228478

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 779", based on the 5-celled von Neumann neighborhood. A273540