Search a number
-
+
56972322 = 2351110657
BaseRepresentation
bin1101100101010…
…1010000100010
310222012111100000
43121111100202
5104041103242
65353040430
71261154031
oct331252042
9128174300
1056972322
112a183170
12170b6116
13ba59b44
1477d0718
155005a4c
hex3655422

56972322 has 48 divisors (see below), whose sum is σ = 139662432. Its totient is φ = 17262720.

The previous prime is 56972281. The next prime is 56972323. The reversal of 56972322 is 22327965.

56972322 is a `hidden beast` number, since 569 + 72 + 3 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (56972323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (2909634).

Almost surely, 256972322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56972322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69831216).

56972322 is an abundant number, since it is smaller than the sum of its proper divisors (82690110).

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

56972322 is a wasteful number, since it uses less digits than its factorization.

56972322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10685 (or 10673 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 56972322 is about 7548.0011923687. The cubic root of 56972322 is about 384.7878113382.

The spelling of 56972322 in words is "fifty-six million, nine hundred seventy-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 10657 21314 31971 63942 95913 117227 191826 234454 287739 351681 575478 703362 863217 1055043 1726434 2110086 2589651 3165129 5179302 6330258 9495387 18990774 28486161 56972322