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57656416 = 2516710789
BaseRepresentation
bin1101101111110…
…0010001100000
311000111020201211
43123330101200
5104230001131
65415435504
71300033336
oct333742140
9130436654
1057656416
112a600134
1217385b94
13bc3932c
14792bb56
1550dd5b1
hex36fc460

57656416 has 24 divisors (see below), whose sum is σ = 114201360. Its totient is φ = 28652928.

The previous prime is 57656399. The next prime is 57656419. The reversal of 57656416 is 61465675.

57656416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57656419) 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 3 ways as a sum of consecutive naturals, for example, 51 + ... + 10738.

It is an arithmetic number, because the mean of its divisors is an integer number (4758390).

Almost surely, 257656416 is an apocalyptic number.

It is an amenable number.

57656416 is a deficient number, since it is larger than the sum of its proper divisors (56544944).

57656416 is a wasteful number, since it uses less digits than its factorization.

57656416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966 (or 10958 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 57656416 is about 7593.1822051101. The cubic root of 57656416 is about 386.3217984618.

The spelling of 57656416 in words is "fifty-seven million, six hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 167 334 668 1336 2672 5344 10789 21578 43156 86312 172624 345248 1801763 3603526 7207052 14414104 28828208 57656416