Properties of the Number 49357

Forty-Nine Thousand Three Hundred Fifty-Seven

Basics

Value: 49356 → 49357 → 49358

Parity: odd

Prime: No

Previous Prime: 49339

Next Prime: 49363

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 × 641

Divisors: 1, 7, 11, 77, 641, 4487, 7051, 49357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000011001101

Octal: 140315

Duodecimal: 24691

Hexadecimal: c0cd

Square: 2436113449

Square Root: 222.16435357635572

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

Number of 3 X n nonnegative integer matrices with all column sums 3, up to row and column permutation. A58407

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n-1) * x/A(x) ) = 0 for n > 0. A337457

Write down the numbers from 3 to infinity. Take next number, M say, that has not been crossed off. Counting through the numbers that have not yet been crossed off after that M, cross off every 5th term. Repeat, always crossing off every 5th term of those that remain. The numbers that are left form the sequence. A100586

a(n) = (n+1)³ - n². A261893

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 0), (1, 1, -1), (1, 1, 1)}. A150641

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+1) * x ) / A(x)ⁿ⁺¹ = 0 for n > 0. A337458

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357