Properties of the Number 49956

Forty-Nine Thousand Nine Hundred Fifty-Six

Basics

Value: 49955 → 49956 → 49957

Parity: even

Prime: No

Previous Prime: 49943

Next Prime: 49957

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 23 × 181

Divisors: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001100100100

Octal: 141444

Duodecimal: 24AB0

Hexadecimal: c324

Square: 2495601936

Square Root: 223.50838910430184

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 (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9. A251652

Numbers that are the sum of seven fourth powers in exactly nine ways. A345831

G.f. A(x) satisfies: A(x)² = 1/AGM(1, 1 - 8·x/A(x)² ). A158122

A quadrisection of A158122: a(n) = A158122(4n). A158212

Expansion of 1/(1-x-x²+x³-x⁴). A124280

a(n) = prime(n)² + prime(n+1). A352851

Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9. A251646

Number of (n+2)X(7+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9. A251651

A quadrisection of A158122: a(n) = A158122(4n+1). A158213

Decimal expansion of the area of home plate (USA major league baseball) in square inches. A121403