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Properties of the Number 72450

Seventy-Two Thousand Four Hundred Fifty

Basics

Value: 72449 → 72450 → 72451

Parity: even

Prime: No

Previous Prime: 72431

Next Prime: 72461

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 2 × 5 2 × 7 × 23

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101100000010

Octal: 215402

Duodecimal: 35B16

Hexadecimal: 11b02

Square: 5249002500

Square Root: 269.1653766738954

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) = n·A276086(n). A324580
Number of (w,x,y,z) with all terms in {1,...,n} and w <= x > y <= z. A212246
A convolution triangle of numbers generalizing Pascal's triangle A007318. A49327
a(n) = n*(n+1)*(22·n-19)/6. A256716
Least common multiple of n and A276086(n). A328584
Triangle read by rows: T(n,k) is the number of weighted lattice paths in Ln having k (1,1)-steps. Ln is the set of lattice paths of weight n that start at (0,0) and end on the horizontal axis and whose steps are of the following four kinds: a (1,0)-step with weight 1; a (1,0)-step with weight 2; a (1,1)-step with weight 2; a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182880
(Denominators of Cauchy numbers of the first kind c2n)/6. A222560
Expansion of x*(1 + 3·x + x2)/((1 - x)5*(1 + x)4). A287143
Triangle read by rows: T(n,k) is the number of paths in the right half-plane, from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k U steps (0 <= k <= floor(n/2)). A132886
Continued fraction expansion of the limit of a nested radical, sqrt(1 + sqrt(2 + sqrt(3 + sqrt(4 + ... )))). A72450