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57452364 = 223229113487
BaseRepresentation
bin1101101100101…
…0011101001100
311000002212211100
43123022131030
5104201433424
65411223100
71265223414
oct333123514
9130085740
1057452364
112a4808a2
12172a7a90
13bb974a8
1478b7644
15509cdc9
hex36ca74c

57452364 has 72 divisors (see below), whose sum is σ = 151875360. Its totient is φ = 18289152.

The previous prime is 57452363. The next prime is 57452389. The reversal of 57452364 is 46325475.

57452364 is a `hidden beast` number, since 5 + 74 + 523 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57452363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117729 + ... + 118215.

It is an arithmetic number, because the mean of its divisors is an integer number (2109380).

Almost surely, 257452364 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 57452364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75937680).

57452364 is an abundant number, since it is smaller than the sum of its proper divisors (94422996).

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

57452364 is a wasteful number, since it uses less digits than its factorization.

57452364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57452364 is about 7579.7337684117. The cubic root of 57452364 is about 385.8655155368.

The spelling of 57452364 in words is "fifty-seven million, four hundred fifty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 113 116 174 226 261 339 348 452 487 522 678 974 1017 1044 1356 1461 1948 2034 2922 3277 4068 4383 5844 6554 8766 9831 13108 14123 17532 19662 28246 29493 39324 42369 55031 56492 58986 84738 110062 117972 127107 165093 169476 220124 254214 330186 495279 508428 660372 990558 1595899 1981116 3191798 4787697 6383596 9575394 14363091 19150788 28726182 57452364