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57311352 = 23327176689
BaseRepresentation
bin1101101010100…
…0000001111000
310222211201101200
43122220001320
5104132430402
65404214200
71264065330
oct332500170
9128751350
1057311352
112a39495a
121723a360
13bb48257
14787c0c0
15507121c
hex36a8078

57311352 has 96 divisors (see below), whose sum is σ = 187855200. Its totient is φ = 15409152.

The previous prime is 57311341. The next prime is 57311357. The reversal of 57311352 is 25311375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57311357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5224 + ... + 11912.

It is an arithmetic number, because the mean of its divisors is an integer number (1956825).

Almost surely, 257311352 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 57311352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93927600).

57311352 is an abundant number, since it is smaller than the sum of its proper divisors (130543848).

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

57311352 is a wasteful number, since it uses less digits than its factorization.

57311352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6718 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 57311352 is about 7570.4261438838. The cubic root of 57311352 is about 385.5495654095.

The spelling of 57311352 in words is "fifty-seven million, three hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 6689 8568 13378 20067 26756 40134 46823 53512 60201 80268 93646 113713 120402 140469 160536 187292 227426 240804 280938 341139 374584 421407 454852 481608 561876 682278 795991 842814 909704 1023417 1123752 1364556 1591982 1685628 2046834 2387973 2729112 3183964 3371256 4093668 4775946 6367928 7163919 8187336 9551892 14327838 19103784 28655676 57311352