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57664061 = 7133120441
BaseRepresentation
bin1101101111111…
…0001000111101
311000111122012222
43123332020331
5104230222221
65415535125
71300064540
oct333761075
9130448188
1057664061
112a605954
121738a4a5
13bc3c960
147930857
1550e09ab
hex36fe23d

57664061 has 16 divisors (see below), whose sum is σ = 73264128. Its totient is φ = 44150400.

The previous prime is 57664049. The next prime is 57664073. The reversal of 57664061 is 16046675.

It is an interprime number because it is at equal distance from previous prime (57664049) and next prime (57664073).

It is not a de Polignac number, because 57664061 - 26 = 57663997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57664091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400 + ... + 13041.

It is an arithmetic number, because the mean of its divisors is an integer number (4579008).

Almost surely, 257664061 is an apocalyptic number.

It is an amenable number.

57664061 is a deficient number, since it is larger than the sum of its proper divisors (15600067).

57664061 is a wasteful number, since it uses less digits than its factorization.

57664061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 57664061 is about 7593.6856005500. The cubic root of 57664061 is about 386.3388725930.

The spelling of 57664061 in words is "fifty-seven million, six hundred sixty-four thousand, sixty-one".

Divisors: 1 7 13 31 91 217 403 2821 20441 143087 265733 633671 1860131 4435697 8237723 57664061