Properties of the Number 49093

Forty-Nine Thousand Ninety-Three

Basics

Value: 49092 → 49093 → 49094

Parity: odd

Prime: No

Previous Prime: 49081

Next Prime: 49103

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 4463

Divisors: 1, 11, 4463, 49093

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111111000101

Octal: 137705

Duodecimal: 244B1

Hexadecimal: bfc5

Square: 2410122649

Square Root: 221.56940221971084

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 upper triangular zero-one matrices with n ones and no zero rows or columns. A138265

Number T(n,k) of ascent sequences of length n with exactly k flat steps; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A242153

Main diagonal of array A255551. A255550

Last term where no prime sums occur in A161190 in a 4-diagonal set of 24 terms. A161193

Triangle read by rows: T(n,k) is the number of length-n ascent sequences without flat steps, containing k zeros. A218757

Records in A352187. A352191

Numbers n such that 2ⁿ - 1 is squarefree. A49093

G.f. A(x) satisfies: Series_Reversion( A(x)/(1 - i·x + A(x)²) ) = A(x)/(1 + i·x + A(x)²), where odd function A(x) = ∑_n>=1 a(n)*x^2·n-1 and i² = -1. A277179