Properties of the Number 49841

Forty-Nine Thousand Eight Hundred Forty-One

Basics

Value: 49840 → 49841 → 49842

Parity: odd

Prime: No

Previous Prime: 49831

Next Prime: 49843

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 11 × 23 × 197

Divisors: 1, 11, 23, 197, 253, 2167, 4531, 49841

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001010110001

Octal: 141261

Duodecimal: 24A15

Hexadecimal: c2b1

Square: 2484125281

Square Root: 223.25097984107484

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) = 9·a(n-1) - a(n-2) for n > 0, a(0)=1, a(-1)=1. A70998

Let R(n) = sum {k = 0..inf} (3k)ⁿ/(3k)! for n = 0,1,2,... . Then the real number R(n) is an integral linear combination of R(0), R(1) and R(2). This sequence gives the coefficients of R(1). A143818

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x+y+z. A212145

30-gonal pyramidal numbers: a(n) = n*(n+1)*(28·n-25)/6. A256650

Maximal intervals of balanced binary trees in the Tamari lattices. A272372

Heinz numbers of integer partitions into relatively prime parts whose reciprocal sum is the reciprocal of an integer. A316901

Numbers m such that σ(m) / τ(m) = σ(m - 1) / τ(m - 1) + σ(m + 1) / τ(m + 1). A347077

Rectangular array: A(n,k) = ∑_j=0..k (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*(-n)^k-j, n >= 1, k >= 0, read by antidiagonals. A299045

a(n) = ∑_k=1..n T(n,k), array T as in A049840. A49841

Array a(n,m) read by antidiagonals where a(0,m)=a(1,m)=1 and a(n,m) = m·a(n-1,m)-a(n-2,m) for n>=2. A218220