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57395628 = 22315
BaseRepresentation
bin1101101011110…
…0100110101100
311000000000000000
43122330212230
5104143130003
65410104300
71264566123
oct332744654
9130000000
1057395628
112a442204
121727b090
13bb77714
1478a0aba
15508b1a3
hex36bc9ac

57395628 has 48 divisors (see below), whose sum is σ = 150663520. Its totient is φ = 19131876.

The previous prime is 57395627. The next prime is 57395629. The reversal of 57395628 is 82659375.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57395628 is a `hidden beast` number, since 57 + 39 + 562 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57395627) and next prime (57395629).

It is a super-2 number, since 2×573956282 = 6588516227028768, which contains 22 as substring.

Its product of digits (453600) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (57395623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19131875 + 19131876 + 19131877.

Almost surely, 257395628 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 57395628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75331760).

57395628 is an abundant number, since it is smaller than the sum of its proper divisors (93267892).

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

57395628 is an frugal number, since it uses more digits than its factorization.

57395628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 5 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 57395628 is about 7575.9902323063. The cubic root of 57395628 is about 385.7384556283.

The spelling of 57395628 in words is "fifty-seven million, three hundred ninety-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 19683 26244 39366 59049 78732 118098 177147 236196 354294 531441 708588 1062882 1594323 2125764 3188646 4782969 6377292 9565938 14348907 19131876 28697814 57395628