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57305601 = 326367289
BaseRepresentation
bin1101101010011…
…0101000000001
310222211102111200
43122212220001
5104132234401
65404131413
71264042503
oct332465001
9128742450
1057305601
112a390601
1217236b69
13bb45752
147879d73
15506e686
hex36a6a01

57305601 has 6 divisors (see below), whose sum is σ = 82774770. Its totient is φ = 38203728.

The previous prime is 57305543. The next prime is 57305621. The reversal of 57305601 is 10650375.

57305601 is a `hidden beast` number, since 57 + 3 + 0 + 5 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37271025 + 20034576 = 6105^2 + 4476^2 .

It is not a de Polignac number, because 57305601 - 214 = 57289217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57305621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3183636 + ... + 3183653.

It is an arithmetic number, because the mean of its divisors is an integer number (13795795).

Almost surely, 257305601 is an apocalyptic number.

It is an amenable number.

57305601 is a deficient number, since it is larger than the sum of its proper divisors (25469169).

57305601 is a wasteful number, since it uses less digits than its factorization.

57305601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367295 (or 6367292 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 57305601 is about 7570.0463010473. The cubic root of 57305601 is about 385.5366687805.

Adding to 57305601 its reverse (10650375), we get a palindrome (67955976).

The spelling of 57305601 in words is "fifty-seven million, three hundred five thousand, six hundred one".

Divisors: 1 3 9 6367289 19101867 57305601