Properties of the Number 49595

Forty-Nine Thousand Five Hundred Ninety-Five

Basics

Value: 49594 → 49595 → 49596

Parity: odd

Prime: No

Previous Prime: 49559

Next Prime: 49597

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 × 13 × 109

Divisors: 1, 5, 7, 13, 35, 65, 91, 109, 455, 545

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100000110111011

Octal: 140673

Duodecimal: 2484B

Hexadecimal: c1bb

Square: 2459664025

Square Root: 222.69934889891348

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

Step at which n is expelled in Kimberling's puzzle (A035486). A6852

Expansion of 1 + ∑_n>=1 (x^n² / ∏_k>=n (1 - x^k)). A188216

Expansion of (1-x⁵) / (1-x)⁵. A8487

a(n) = (A001359(n+1)² - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822). A308344

Number of ordered quadruples (i,j,k,l) in range [0..n] satisfying i == j (mod 2), j == k (mod 3) and k == l (mod 4). A115523

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood. A273612

Pentagonal numbers which are products of four distinct primes. A381919

Kimberling's expulsion array read by antidiagonals. A35486

Primes p such that x⁶³ = 2 has a solution mod p. A49595

a(n) = ∑_k=0..n-1 {[x^k] A(x)^n-k} * {[x^n-k-1] A(x)^k+1} for n>0, with a(0)=1, where g.f. A(x) = ∑_n>=0 a(n)*xⁿ. A161881