Properties of the Number 49872

Forty-Nine Thousand Eight Hundred Seventy-Two

Basics

Value: 49871 → 49872 → 49873

Parity: even

Prime: No

Previous Prime: 49871

Next Prime: 49877

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 1039

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1100001011010000

Octal: 141320

Duodecimal: 24A40

Hexadecimal: c2d0

Square: 2487216384

Square Root: 223.32039763532575

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251268

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A296643

Expansion of (theta₃(z)*theta₃(19z) + theta₂(z)*theta₂(19z))⁴. A28644

E.g.f.: S(x,q) = Integral C(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where S(x,q) = ∑_n>=0 ∑_{k=0..n*(n+1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322219

Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251263

Number of (5+1)X(n+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251272

Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A296639

Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A296640

Expansion of ∏_{i>=1, j>=1, k>=1} ((1 + x^i·j*k)/(1 - x^i·j*k))^i·j*k. A318764

a(n) = coefficient of xⁿ*yⁿ in ∏_n>=1 1/(1 - (xⁿ + yⁿ)). A322211