Properties of the Number 49280

Forty-Nine Thousand Two Hundred Eighty

Basics

Value: 49279 → 49280 → 49281

Parity: even

Prime: No

Previous Prime: 49279

Next Prime: 49297

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁷ × 5 × 7 × 11

Divisors: 1, 2, 4, 5, 7, 8, 10, 11, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000010000000

Octal: 140200

Duodecimal: 24628

Hexadecimal: c080

Square: 2428518400

Square Root: 221.99099080818573

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

Numbers that are the sum of 4 positive 7th powers. A3371

E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals. A322190

Row 9 of array in A288580. A92974

Numbers with prime factorization pqrs⁷. A190473

a(n) = coefficient of xⁿ in the (2^n-1)-th iteration of x+x² for n>=1. A158261

Table where row n lists the coefficients in the (2ⁿ)-th iteration of x+x² for n>=0, read by antidiagonals not including trailing zeros in rows. A158264

E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = ∑_n>=0 ∑_k=0..2·n+1 T(n,k) * x^2·n+1-k*y^k/((2·n+1-k)!*k!), as a triangle of coefficients T(n,k) read by rows. A322194

Denominator of Laguerre(n, -9). A160602

Exponential expansion of the square of the real root y = y(x) of y³ - 3·x*y - 1. A282627

a(1) = 1; thereafter a(n) = a(n-1) / φ(n) if φ(n) divides a(n-1), otherwise a(n) = a(n-1) * φ(n), where φ is the Euler φ-function A000010. A326889