Properties of the Number 49135

Forty-Nine Thousand One Hundred Thirty-Five

Basics

Value: 49134 → 49135 → 49136

Parity: odd

Prime: No

Previous Prime: 49123

Next Prime: 49139

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 31 × 317

Divisors: 1, 5, 31, 155, 317, 1585, 9827, 49135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111111101111

Octal: 137757

Duodecimal: 24527

Hexadecimal: bfef

Square: 2414248225

Square Root: 221.66416038683386

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

a(n+3) = 3·a(n+2) - 2·a(n+1) + 1 with a(0)=0, a(1)=2. A95151

Sum of products of parts increased by 1 in hook partitions of n, where hook partitions are of the form h·1^n-h. A77802

Maximal coefficient of (1 - x) * (1 - x⁴) * (1 - x⁹) * ... * (1 - x^n²). A369728

a(n) = A077702(n+1)/A077702(n). A77703

Expansion of 1/(x^k*(1-x-2·x^k+1)) for k=7. A143450

Consecutive states of the linear congruential pseudo-random number generator 228·s mod (2¹⁶+1) when started at s=1. A385079

a(n) = A088418(n+1)/A088418(n). A88419

a(n) = the smallest positive integer not yet occurring such that the number of divisors of 1+sum{k=1 to n} a(k) is exactly n. A177268

Maximum of the absolute value of the coefficients of (1 - x) * (1 - x⁴) * (1 - x⁹) * ... * (1 - x^n²). A369986

a(n) = ∑_k=0..n-3 T(n,k) * T(n,k+3), with T given by A026659. A26979