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57656052 = 22321012157
BaseRepresentation
bin1101101111110…
…0001011110100
311000111020020100
43123330023310
5104224443202
65415434100
71300032306
oct333741364
9130436210
1057656052
112a5aa933
1217385930
13bc3910c
14792b976
1550dd41c
hex36fc2f4

57656052 has 54 divisors (see below), whose sum is σ = 148136534. Its totient is φ = 18907200.

The previous prime is 57656029. The next prime is 57656059. The reversal of 57656052 is 25065675.

It can be written as a sum of positive squares in 3 ways, for example, as 33802596 + 23853456 = 5814^2 + 4884^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57655998 and 57656016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57656059) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367158 + ... + 367314.

Almost surely, 257656052 is an apocalyptic number.

It is an amenable number.

57656052 is an abundant number, since it is smaller than the sum of its proper divisors (90480482).

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

57656052 is a wasteful number, since it uses less digits than its factorization.

57656052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 57656052 is about 7593.1582362019. The cubic root of 57656052 is about 386.3209854767.

The spelling of 57656052 in words is "fifty-seven million, six hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 157 202 303 314 404 471 606 628 909 942 1212 1413 1818 1884 2826 3636 5652 10201 15857 20402 30603 31714 40804 47571 61206 63428 91809 95142 122412 142713 183618 190284 285426 367236 570852 1601557 3203114 4804671 6406228 9609342 14414013 19218684 28828026 57656052