Properties of the Number 49682

Forty-Nine Thousand Six Hundred Eighty-Two

Basics

Value: 49681 → 49682 → 49683

Parity: even

Prime: No

Previous Prime: 49681

Next Prime: 49697

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 24841

Divisors: 1, 2, 24841, 49682

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001000010010

Octal: 141022

Duodecimal: 24902

Hexadecimal: c212

Square: 2468301124

Square Root: 222.89459392277777

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(n) = ∑_d∣n (n/d)^d-1. A87909

Irregular triangle read by rows: T(n,k) = ∑_i=0..k (-1)ⁱ * binomial(3·n+1,i) * binomial(k+3-i,3)ⁿ, 0 <= k <= 3*(n-1). A174266

Number of A095319-primes in range ]2ⁿ,2ⁿ⁺¹]. A95329

Number of A095323-primes in range ]2ⁿ,2ⁿ⁺¹]. A95325

Number of permutations of 3 indistinguishable copies of 1..n with exactly 3 adjacent element pairs in decreasing order. A151633

Number of permutations of 3 indistinguishable copies of 1..n with exactly 6 adjacent element pairs in decreasing order. A151636

Triangle in which the g.f. for row n is (1-x)^4·n+1 * ∑_j>=0 binomial(n+j-1,j)⁴ * x^j, read by rows of k=0..3·n terms. A262014

a(n) = [xⁿ] (1-x)^4·n+1 * ∑_k>=0 binomial(n+k-1,k)⁴ * x^k. A262015

Numbers n such that 3·10ⁿ + 8·R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102980

Numbers whose trajectory under the Esucarys map ends at the fixed point 247. A129133