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57040452 = 22327461491
BaseRepresentation
bin1101100110010…
…1111001000100
310222022221210100
43121211321010
5104100243302
65354324100
71261556460
oct331457104
9128287710
1057040452
112a21a377
1217129630
13ba81b61
14780b4a0
15501ad1c
hex3665e44

57040452 has 72 divisors (see below), whose sum is σ = 165477312. Its totient is φ = 16228800.

The previous prime is 57040447. The next prime is 57040453. The reversal of 57040452 is 25404075.

57040452 is a `hidden beast` number, since 570 + 40 + 4 + 52 = 666.

57040452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×570404522 = 6507226328728608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57040453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115927 + ... + 116417.

It is an arithmetic number, because the mean of its divisors is an integer number (2298296).

Almost surely, 257040452 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 57040452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82738656).

57040452 is an abundant number, since it is smaller than the sum of its proper divisors (108436860).

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

57040452 is a wasteful number, since it uses less digits than its factorization.

57040452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 57040452 is about 7552.5129592739. The cubic root of 57040452 is about 384.9411322824.

The spelling of 57040452 in words is "fifty-seven million, forty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 461 491 922 982 1383 1473 1844 1964 2766 2946 3227 3437 4149 4419 5532 5892 6454 6874 8298 8838 9681 10311 12908 13748 16596 17676 19362 20622 29043 30933 38724 41244 58086 61866 116172 123732 226351 452702 679053 905404 1358106 1584457 2037159 2716212 3168914 4074318 4753371 6337828 8148636 9506742 14260113 19013484 28520226 57040452