Properties of the Number 49772

Forty-Nine Thousand Seven Hundred Seventy-Two

Basics

Value: 49771 → 49772 → 49773

Parity: even

Prime: No

Previous Prime: 49757

Next Prime: 49783

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 23 × 541

Divisors: 1, 2, 4, 23, 46, 92, 541, 1082, 2164, 12443

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001001101100

Octal: 141154

Duodecimal: 24978

Hexadecimal: c26c

Square: 2477251984

Square Root: 223.09639172339834

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 (k·n)Xn binary matrices with all row sums equal and all column sums equal. A181236

Expansion of ∑_k>=0 k³ * x^k/(1 - k·x). A349878

Consecutive states of the linear congruential pseudo-random number generator (421·s + 17117) mod 81000 when started at s=1. A385338

Number of (4·n)X4 binary matrices with all row sums equal and all column sums equal. A181238

1-sequence of reduction of hexagonal numbers sequence by x² -> x+1. A192144

Number of (2·n)Xn binary matrices with all row sums equal and all column sums equal. A181234

a(n) = ∑_k=1..n T(n,k), array T as in A049771. A49772

Triangle T(n,k), read by rows, given by (2, 1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, ...) δ (2, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, ...) where δ is the operator defined in A084938. A210637

Number of (n+4) X 8 0..2 matrices with each 5 X 5 subblock idempotent. A224621