Properties of the Number 49197

Forty-Nine Thousand One Hundred Ninety-Seven

Basics

Value: 49196 → 49197 → 49198

Parity: odd

Prime: No

Previous Prime: 49193

Next Prime: 49199

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 ² × 31

Divisors: 1, 3, 23, 31, 69, 93, 529, 713, 1587, 2139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100000000101101

Octal: 140055

Duodecimal: 24579

Hexadecimal: c02d

Square: 2420344809

Square Root: 221.80396750283796

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 integer partitions of n whose number of submultisets is greater than or equal to n. A325832

Numbers k such that 2^k + 29 is prime. A156982

Number of n X 2 0..1 arrays with every element equal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A297953

Number of non-isomorphic multiset partitions of weight n whose incidence matrix has all distinct entries. A321662

T(n,k)=Number of nXk arrays of occupancy after each element moves to some king-move neighbor, with no 2-loops and with no occupancy greater than 2. A221341

Triangle read by rows: T(n,k) number of ways of partitioning the (n+5)-element multiset {1,1,1,1,1,1,2,3,...,n} into exactly k nonempty parts, n >= 0 and 1 <= k <= n + 5. A291120

a(n) = (1/6)*(n+1)*(10·n² + 17·n + 12). A102296

Number of nX3 arrays of occupancy after each element moves to some king-move neighbor, with no 2-loops and with no occupancy greater than 2. A221339

a(n) = (3·n-1)*(n⁴-18·n³+179·n²-582·n+720)/120. A381193

Number of permutations of length n which avoid the patterns 2134, 3421, 4312. A116766