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57868938 = 233471512
BaseRepresentation
bin1101110011000…
…0001010001010
311000220001021000
43130300022022
5104303301223
65424155430
71301610051
oct334601212
9130801230
1057868938
112a735876
1217468b76
13bcb1c9a
147985398
155131543
hex373028a

57868938 has 48 divisors (see below), whose sum is σ = 132209280. Its totient is φ = 18754200.

The previous prime is 57868919. The next prime is 57868963. The reversal of 57868938 is 83986875.

It is a happy number.

57868938 is a `hidden beast` number, since 578 + 68 + 9 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

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, 383163 + ... + 383313.

It is an arithmetic number, because the mean of its divisors is an integer number (2754360).

Almost surely, 257868938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57868938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66104640).

57868938 is an abundant number, since it is smaller than the sum of its proper divisors (74340342).

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

57868938 is a wasteful number, since it uses less digits than its factorization.

57868938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 203 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 57868938 is about 7607.1635975572. The cubic root of 57868938 is about 386.7958781737.

The spelling of 57868938 in words is "fifty-seven million, eight hundred sixty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 151 282 302 423 453 846 906 1269 1359 2538 2718 4077 7097 8154 14194 21291 22801 42582 45602 63873 68403 127746 136806 191619 205209 383238 410418 615627 1071647 1231254 2143294 3214941 6429882 9644823 19289646 28934469 57868938