Properties of the Number 52464

Fifty-Two Thousand Four Hundred Sixty-Four

Basics

Value: 52463 → 52464 → 52465

Parity: even

Prime: No

Previous Prime: 52457

Next Prime: 52489

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 1093

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110011110000

Octal: 146360

Duodecimal: 26440

Hexadecimal: ccf0

Square: 2752471296

Square Root: 229.05021283552654

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) = A080315(n) - 2^A000523(A080315(n)), i.e., the terms of A080315 without their most significant bit. A80316

A014486-encoding of the Catalan mountain ranges with only even-length slopes allowed. A83932

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125). A204126

Number of 8X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 8 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192708

Number of equidistributed binary strings of length n. A264695

Convolution of A023532 and Fibonacci numbers. A23596

Numbers whose base-4 representation contains exactly four 0's and four 3's. A45085

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 0)}. A148116

Number of n X n 0..1 arrays with every element unequal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero. A303801

Fixed points for operation of repeatedly replacing a number with the sum of the fifth power of its digits. A52464