Search a number
-
+
56915264 = 267218149
BaseRepresentation
bin1101100100011…
…1010101000000
310222002121001202
43121013111000
5104032242024
65351520332
71260525500
oct331072500
9128077052
1056915264
112a14430a
12170890a8
13ba39b93
1477b7a00
154ee3bae
hex3647540

56915264 has 42 divisors (see below), whose sum is σ = 131387850. Its totient is φ = 24390912.

The previous prime is 56915239. The next prime is 56915267. The reversal of 56915264 is 46251965.

It can be written as a sum of positive squares in only one way, i.e., 43665664 + 13249600 = 6608^2 + 3640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56915267) 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 5 ways as a sum of consecutive naturals, for example, 5939 + ... + 12210.

Almost surely, 256915264 is an apocalyptic number.

It is an amenable number.

56915264 is an abundant number, since it is smaller than the sum of its proper divisors (74472586).

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

56915264 is a wasteful number, since it uses less digits than its factorization.

56915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18175 (or 18158 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 56915264 is about 7544.2205694160. The cubic root of 56915264 is about 384.6593129395.

The spelling of 56915264 in words is "fifty-six million, nine hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 18149 36298 72596 127043 145192 254086 290384 508172 580768 889301 1016344 1161536 1778602 2032688 3557204 4065376 7114408 8130752 14228816 28457632 56915264