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57357690 = 23513612411
BaseRepresentation
bin1101101011001…
…1010101111010
310222221001221220
43122303111322
5104140421230
65405212510
71264350405
oct332632572
9128831856
1057357690
112a416755
1217261136
13bb63380
147890d3c
15507ed10
hex36b357a

57357690 has 64 divisors (see below), whose sum is σ = 150740352. Its totient is φ = 13881600.

The previous prime is 57357689. The next prime is 57357701. The reversal of 57357690 is 9675375.

It is a super-2 number, since 2×573576902 = 6579809204272200, which contains 22 as substring.

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, 22585 + ... + 24995.

It is an arithmetic number, because the mean of its divisors is an integer number (2355318).

Almost surely, 257357690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57357690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75370176).

57357690 is an abundant number, since it is smaller than the sum of its proper divisors (93382662).

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

57357690 is a wasteful number, since it uses less digits than its factorization.

57357690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495.

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 57357690 is about 7573.4859873113. The cubic root of 57357690 is about 385.6534469986.

The spelling of 57357690 in words is "fifty-seven million, three hundred fifty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1586 1830 2379 2411 3965 4758 4822 7233 7930 11895 12055 14466 23790 24110 31343 36165 62686 72330 94029 147071 156715 188058 294142 313430 441213 470145 735355 882426 940290 1470710 1911923 2206065 3823846 4412130 5735769 9559615 11471538 19119230 28678845 57357690