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57117018 = 237412809
BaseRepresentation
bin1101100111100…
…0100101011010
310222110211211010
43121320211122
5104110221033
65400114350
71262325630
oct331704532
9128424733
1057117018
112a271952
12171659b6
13baaa96a
14782b350
155033863
hex367895a

57117018 has 48 divisors (see below), whose sum is σ = 133980480. Its totient is φ = 15901440.

The previous prime is 57117013. The next prime is 57117019. The reversal of 57117018 is 81071175.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57117013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70198 + ... + 71006.

It is an arithmetic number, because the mean of its divisors is an integer number (2791260).

Almost surely, 257117018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57117018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66990240).

57117018 is an abundant number, since it is smaller than the sum of its proper divisors (76863462).

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

57117018 is a wasteful number, since it uses less digits than its factorization.

57117018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 30.

The square root of 57117018 is about 7557.5801682814. The cubic root of 57117018 is about 385.1132921212.

The spelling of 57117018 in words is "fifty-seven million, one hundred seventeen thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 809 861 1618 1681 1722 2427 3362 4854 5043 5663 10086 11326 11767 16989 23534 33169 33978 35301 66338 70602 99507 199014 232183 464366 696549 1359929 1393098 2719858 4079787 8159574 9519503 19039006 28558509 57117018