Properties of the Number 51648

Fifty-One Thousand Six Hundred Forty-Eight

Basics

Value: 51647 → 51648 → 51649

Parity: even

Prime: No

Previous Prime: 51647

Next Prime: 51659

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 269

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100111000000

Octal: 144700

Duodecimal: 25A80

Hexadecimal: c9c0

Square: 2667515904

Square Root: 227.26196338146866

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

Triangular array read by rows: The sum of squares of the number of common points in all pairs of lattice paths from (0,0) to (x,y), for 0 <= y <= x (the unnormalized second moment). A306687

The sum of squares of the number of common points in all pairs of lattice paths from (0,0) to (x,y), for x >= 0, y >= 0 (the unnormalized second moment). The table is read by antidiagonals. A324010

Expansion of e.g.f.: tanh(arcsin(x)*exp(x))=x+2/2!*x²+2/3!*x³-16/4!*x⁴-160/5!*x⁵... A12323

Numbers k such that k! stripped of trailing zeros ends in k. A45647

Coordination sequence for root lattice B₁₀. A22152

Primes of form 210·p + 1 where p is a prime. A51648

Number of nX4 binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally. A188742