Properties of the Number 49209

Forty-Nine Thousand Two Hundred Nine

Basics

Value: 49208 → 49209 → 49210

Parity: odd

Prime: No

Previous Prime: 49207

Next Prime: 49211

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 47 × 349

Divisors: 1, 3, 47, 141, 349, 1047, 16403, 49209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100000000111001

Octal: 140071

Duodecimal: 24589

Hexadecimal: c039

Square: 2421525681

Square Root: 221.83101676726815

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 nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A296635

a(n) = n³ - (n+1)². A153257

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new maximum. A372099

Expansion of (1-4x²)/(1+4x+3x²). A128416

Number of compositions of n into parts of sizes == 1 mod 5 or 4 mod 5. A116975

a(n) = 2·a(n-1) + 3·a(n-2), with a(0) = 1, a(1) = 9. A137340

Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A296630

a(n) = -∏_k=0..n (7·k-1); sept-factorial numbers. A49209