Properties of the Number 48976

Forty-Eight Thousand Nine Hundred Seventy-Six

Basics

Value: 48975 → 48976 → 48977

Parity: even

Prime: No

Previous Prime: 48973

Next Prime: 48989

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 3061

Divisors: 1, 2, 4, 8, 16, 3061, 6122, 12244, 24488, 48976

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111101010000

Octal: 137520

Duodecimal: 24414

Hexadecimal: bf50

Square: 2398648576

Square Root: 221.30521909796886

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) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234728

Conjectured list of sociable numbers. A122726

The 28-cycle of the n => σ(n)-n process, where σ(n) is the sum of divisors of n (A000203). A72890

p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S² - 2 S⁴. A291405

Conjectured list of numbers which are perfect, amicable, or sociable. A347770

a(n) = ∑_k=1..n floor(n/(2·k-1))³. A350144

Number of subgroups of the group GL(2,Z_n) of invertible 2 X 2 matrices mod n (sequence A000252). A66514

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234722

Number of (n+1) X (4+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234724

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 185", based on the 5-celled von Neumann neighborhood. A270636