Search a number
-
+
56247516 = 223213313877
BaseRepresentation
bin1101011010010…
…0010011011100
310220211200002100
43112210103130
5103344410031
65325325100
71252044633
oct326442334
9126750070
1056247516
1129828656
1216a06790
13b864c70
14768251a
154e10de6
hex35a44dc

56247516 has 72 divisors (see below), whose sum is σ = 158098304. Its totient is φ = 16744320.

The previous prime is 56247491. The next prime is 56247517. The reversal of 56247516 is 61574265.

It is a happy number.

56247516 is a `hidden beast` number, since 562 + 47 + 51 + 6 = 666.

56247516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56247517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12570 + ... + 16446.

Almost surely, 256247516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56247516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049152).

56247516 is an abundant number, since it is smaller than the sum of its proper divisors (101850788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56247516 is a wasteful number, since it uses less digits than its factorization.

56247516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3926 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56247516 is about 7499.8343981717. The cubic root of 56247516 is about 383.1490760763.

The spelling of 56247516 in words is "fifty-six million, two hundred forty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 3877 4836 7254 7754 11631 14508 15508 23262 34893 46524 50401 69786 100802 120187 139572 151203 201604 240374 302406 360561 453609 480748 604812 721122 907218 1081683 1442244 1562431 1814436 2163366 3124862 4326732 4687293 6249724 9374586 14061879 18749172 28123758 56247516