Properties of the Number 49846

Forty-Nine Thousand Eight Hundred Forty-Six

Basics

Value: 49845 → 49846 → 49847

Parity: even

Prime: No

Previous Prime: 49843

Next Prime: 49853

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 24923

Divisors: 1, 2, 24923, 49846

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001010110110

Octal: 141266

Duodecimal: 24A1A

Hexadecimal: c2b6

Square: 2484623716

Square Root: 223.26217771937996

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

Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists. A73520

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=max(0,n-3), read by rows. A231384

Number of permutations of [n] with exactly one occurrence of one of the consecutive step patterns UUD, UDU, DUU (U=up, D=down). A231386

Smallest magic sum for any n X n semimagic square made from consecutive primes, or 0 if no such magic square exists. A270829

a(n) = smallest potential magic constant for an n X n magic square composed of consecutive primes. A342124

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, -1, 0), (1, 1, 1)}. A150749

a(n) = Max_k=1..n-1 T(n,k), array T as in A049843. A49846