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56740128 = 253837121
BaseRepresentation
bin1101100001110…
…0100100100000
310221202200211020
43120130210200
5104011141003
65344045440
71256166054
oct330344440
9127680736
1056740128
112a034775
1217003880
13b9a8253
14776dc64
154eabd53
hex361c920

56740128 has 48 divisors (see below), whose sum is σ = 150758496. Its totient is φ = 18682880.

The previous prime is 56740127. The next prime is 56740133. The reversal of 56740128 is 82104765.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (56740121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4408 + ... + 11528.

It is an arithmetic number, because the mean of its divisors is an integer number (3140802).

Almost surely, 256740128 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 56740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75379248).

56740128 is an abundant number, since it is smaller than the sum of its proper divisors (94018368).

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

56740128 is a wasteful number, since it uses less digits than its factorization.

56740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 56740128 is about 7532.6043305088. The cubic root of 56740128 is about 384.2643578964.

The spelling of 56740128 in words is "fifty-six million, seven hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7121 7968 14242 21363 28484 42726 56968 85452 113936 170904 227872 341808 591043 683616 1182086 1773129 2364172 3546258 4728344 7092516 9456688 14185032 18913376 28370064 56740128