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57080088 = 23321324691
BaseRepresentation
bin1101100110111…
…1100100011000
310222101222011100
43121233210120
5104103030323
65355231400
71262113152
oct331574430
9128358140
1057080088
112a24712a
1217148560
13ba96c00
14781bad2
155027943
hex366f918

57080088 has 72 divisors (see below), whose sum is σ = 167434020. Its totient is φ = 17559360.

The previous prime is 57080069. The next prime is 57080117. The reversal of 57080088 is 88008075.

57080088 is a `hidden beast` number, since 570 + 8 + 0 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9823 + ... + 14513.

Almost surely, 257080088 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 57080088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83717010).

57080088 is an abundant number, since it is smaller than the sum of its proper divisors (110353932).

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

57080088 is a wasteful number, since it uses less digits than its factorization.

57080088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 57080088 is about 7555.1365308643. The cubic root of 57080088 is about 385.0302736637.

The spelling of 57080088 in words is "fifty-seven million, eighty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 4691 6084 9382 12168 14073 18764 28146 37528 42219 56292 60983 84438 112584 121966 168876 182949 243932 337752 365898 487864 548847 731796 792779 1097694 1463592 1585558 2195388 2378337 3171116 4390776 4756674 6342232 7135011 9513348 14270022 19026696 28540044 57080088