Search a number
-
+
56500128 = 2532196181
BaseRepresentation
bin1101011110000…
…1111110100000
310221022111121100
43113201332200
5103431001003
65334554400
71254146256
oct327417640
9127274540
1056500128
1129990423
1216b08a00
13b922c39
14770a5d6
154e60ba3
hex35e1fa0

56500128 has 36 divisors (see below), whose sum is σ = 160673058. Its totient is φ = 18833280.

The previous prime is 56500109. The next prime is 56500133. The reversal of 56500128 is 82100565.

56500128 is a `hidden beast` number, since 5 + 650 + 0 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48274704 + 8225424 = 6948^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97803 + ... + 98378.

Almost surely, 256500128 is an apocalyptic number.

It is an amenable number.

56500128 is an abundant number, since it is smaller than the sum of its proper divisors (104172930).

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

56500128 is a wasteful number, since it uses less digits than its factorization.

56500128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196197 (or 196186 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 56500128 is about 7516.6567036150. The cubic root of 56500128 is about 383.7218037123.

The spelling of 56500128 in words is "fifty-six million, five hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 196181 392362 588543 784724 1177086 1569448 1765629 2354172 3138896 3531258 4708344 6277792 7062516 9416688 14125032 18833376 28250064 56500128