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57110752 = 2517277379
BaseRepresentation
bin1101100111011…
…1000011100000
310222110112020001
43121313003200
5104110021002
65400025344
71262301436
oct331670340
9128415201
1057110752
112a268176
1217162254
13baa7b5a
147828d56
155031a87
hex36770e0

57110752 has 48 divisors (see below), whose sum is σ = 119795760. Its totient is φ = 26707968.

The previous prime is 57110743. The next prime is 57110777. The reversal of 57110752 is 25701175.

57110752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57110752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150499 + ... + 150877.

It is an arithmetic number, because the mean of its divisors is an integer number (2495745).

Almost surely, 257110752 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 57110752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59897880).

57110752 is an abundant number, since it is smaller than the sum of its proper divisors (62685008).

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

57110752 is a wasteful number, since it uses less digits than its factorization.

57110752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 57110752 is about 7557.1656062309. The cubic root of 57110752 is about 385.0992087054.

The spelling of 57110752 in words is "fifty-seven million, one hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 277 379 544 554 758 1108 1516 2216 3032 4432 4709 6064 6443 8864 9418 12128 12886 18836 25772 37672 51544 75344 103088 104983 150688 206176 209966 419932 839864 1679728 1784711 3359456 3569422 7138844 14277688 28555376 57110752