Properties of the Number 49288

Forty-Nine Thousand Two Hundred Eighty-Eight

Basics

Value: 49287 → 49288 → 49289

Parity: even

Prime: No

Previous Prime: 49279

Next Prime: 49297

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 61 × 101

Divisors: 1, 2, 4, 8, 61, 101, 122, 202, 244, 404

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100000010001000

Octal: 140210

Duodecimal: 24634

Hexadecimal: c088

Square: 2429306944

Square Root: 222.00900882621858

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

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+47)² = y². A118675

Number of derangements of [n] with no succession. A209322

Number of 2n-bead necklaces labeled with numbers 1..n not allowing reversal, with neighbors differing by exactly 1. A208722

Number of (n+2) X (7+2) 0..1 arrays with no 3 X 3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258893

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258894

Number of nonisomorphic circulant tournaments, i.e., Cayley tournaments for cyclic group of order 2n-1. A49288

Rectangular array pos(i,j,1,2) read by descending antidiagonals: pos( ) and neg() denote the positive part and negative part of a determinant; see Comments. A380660