Properties of the Number 49689

Forty-Nine Thousand Six Hundred Eighty-Nine

Basics

Value: 49688 → 49689 → 49690

Parity: odd

Prime: No

Previous Prime: 49681

Next Prime: 49697

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5521

Divisors: 1, 3, 9, 5521, 16563, 49689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001000011001

Octal: 141031

Duodecimal: 24909

Hexadecimal: c219

Square: 2468996721

Square Root: 222.9102958591191

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

Number of points in Z⁴ of norm <= n. A55410

Least positive integer multiples of angle·such that their direction cosines form a unit vector: ∑_k>0 cos(a(k)*x)² = 1, where a(1)=1 and x=1. A80136

Number of lattice points inside or on the 4-dimensional hypersphere x² + y² + z² + u² = 10ⁿ. A373882

Positive numbers k such that (sin k)^k sets a new record. A383540

Number of points in Zⁿ of norm <= 10. A55434

Numbers n such that 9·10ⁿ + 8·R_n - 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103108

a(n) = numerator of the coefficient c(n) of xⁿ in sqrt(1+x)/∏_k=1..n-1 1 + c(k)*x^k, n = 1, 2, 3, ... A170922

a(n) = ∑_k=1..n A060999(k) * k³. A61000

a(n) = numerator of the coefficient c(n) of xⁿ in (1/sqrt(1-x))/∏_k=1..n-1 1 + c(k)*x^k, n = 1, 2, 3, ... A170924

a(n)=Sum{((-1)ⁱ⁺¹)*T(i,n-i): i=0,1,...,n}, array T as in A049687. A49689