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56755296 = 25331331163
BaseRepresentation
bin1101100010000…
…0010001100000
310221210110122000
43120200101200
5104012132141
65344244000
71256261223
oct330402140
9127713560
1056755296
112a045104
1217010600
13b9b2120
1477755ba
154eb15b6
hex3620460

56755296 has 192 divisors, whose sum is σ = 185149440. Its totient is φ = 16796160.

The previous prime is 56755289. The next prime is 56755301. The reversal of 56755296 is 69255765.

56755296 is a `hidden beast` number, since 5 + 6 + 7 + 552 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348111 + ... + 348273.

It is an arithmetic number, because the mean of its divisors is an integer number (964320).

Almost surely, 256755296 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 56755296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92574720).

56755296 is an abundant number, since it is smaller than the sum of its proper divisors (128394144).

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

56755296 is a wasteful number, since it uses less digits than its factorization.

56755296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 56755296 is about 7533.6110863251. The cubic root of 56755296 is about 384.2985958786.

The spelling of 56755296 in words is "fifty-six million, seven hundred fifty-five thousand, two hundred ninety-six".