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57079890 = 2345710067
BaseRepresentation
bin1101100110111…
…1100001010010
310222101221220000
43121233201102
5104103024030
65355230430
71262112450
oct331574122
9128357800
1057079890
112a246a6a
1217148416
13ba96aaa
14781b9d0
155027860
hex366f852

57079890 has 80 divisors (see below), whose sum is σ = 175424832. Its totient is φ = 13045536.

The previous prime is 57079889. The next prime is 57079907. The reversal of 57079890 is 9897075.

57079890 is a `hidden beast` number, since 570 + 79 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×570798902 = 6516227684824200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 637 + ... + 10703.

Almost surely, 257079890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57079890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87712416).

57079890 is an abundant number, since it is smaller than the sum of its proper divisors (118344942).

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

57079890 is a wasteful number, since it uses less digits than its factorization.

57079890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 57079890 is about 7555.1234271850. The cubic root of 57079890 is about 385.0298284642.

The spelling of 57079890 in words is "fifty-seven million, seventy-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 10067 20134 30201 50335 60402 70469 90603 100670 140938 151005 181206 211407 271809 302010 352345 422814 453015 543618 634221 704690 815427 906030 1057035 1268442 1359045 1630854 1902663 2114070 2718090 3171105 3805326 4077135 5707989 6342210 8154270 9513315 11415978 19026630 28539945 57079890