Properties of the Number 49743

Forty-Nine Thousand Seven Hundred Forty-Three

Basics

Value: 49742 → 49743 → 49744

Parity: odd

Prime: No

Previous Prime: 49741

Next Prime: 49747

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5527

Divisors: 1, 3, 9, 5527, 16581, 49743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001001001111

Octal: 141117

Duodecimal: 24953

Hexadecimal: c24f

Square: 2474366049

Square Root: 223.03138792555634

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

Sum of the coefficients of the n-th Moebius polynomial, M(n,x), where M(n,-1) = μ(n), the Moebius function of n. A74587

a(n) = ∑_{k=0..floor(n/3)} binomial(3·k,2·n-6·k). A392435

Triangle read by rows: T(n,k) appears in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n T(n,k)*(x+k)^k. A247236

a(n) = n*(n³-n²+n+1)/2. A100855

Expansion of (1-4x+12x²-16x³+8x⁴)/(1-x)⁵. A119327

a(n)=T(n,n+3), array T as in A049735. A49743