Properties of the Number 49577

Forty-Nine Thousand Five Hundred Seventy-Seven

Basics

Value: 49576 → 49577 → 49578

Parity: odd

Prime: No

Previous Prime: 49559

Next Prime: 49597

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 11 × 4507

Divisors: 1, 11, 4507, 49577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000110101001

Octal: 140651

Duodecimal: 24835

Hexadecimal: c1a9

Square: 2457878929

Square Root: 222.65893200139087

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(0) = 1 by convention; for n>0, a(n) is the number of points in the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter). A331449

Triangle read by rows: T(n,m) (n >= m >= 1) = number of vertices formed by drawing the lines connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331453

Length of one version of Kolakoski sequence {A000002(i)} at n-th growth stage. A1083

Non-Brauer numbers. A349044

Records in A352187. A352191

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph. A367322

Primes p such that x⁴⁵ = 2 has a solution mod p. A49577

Number of (n+1)X(3+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one. A231801