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57308958 = 234797521
BaseRepresentation
bin1101101010011…
…1011100011110
310222211121010000
43122213130132
5104132341313
65404155130
71264055340
oct332473436
9128747100
1057308958
112a393083
1217238aa6
13bb47135
14787b290
155070673
hex36a771e

57308958 has 80 divisors (see below), whose sum is σ = 148557024. Its totient is φ = 16174080.

The previous prime is 57308957. The next prime is 57308971. The reversal of 57308958 is 85980375.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57308957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109738 + ... + 110258.

Almost surely, 257308958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57308958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74278512).

57308958 is an abundant number, since it is smaller than the sum of its proper divisors (91248066).

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

57308958 is a wasteful number, since it uses less digits than its factorization.

57308958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 57308958 is about 7570.2680269592. The cubic root of 57308958 is about 385.5441969645.

The spelling of 57308958 in words is "fifty-seven million, three hundred eight thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 97 126 162 189 194 291 378 521 567 582 679 873 1042 1134 1358 1563 1746 2037 2619 3126 3647 4074 4689 5238 6111 7294 7857 9378 10941 12222 14067 15714 18333 21882 28134 32823 36666 42201 50537 54999 65646 84402 98469 101074 109998 151611 196938 295407 303222 353759 454833 590814 707518 909666 1061277 1364499 2122554 2728998 3183831 4093497 6367662 8186994 9551493 19102986 28654479 57308958