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57306305 = 576132671
BaseRepresentation
bin1101101010011…
…0110011000001
310222211110110202
43122212303001
5104132300210
65404134545
71264044530
oct332466301
9128743422
1057306305
112a391091
1217237455
13bb45b74
14787a317
15506e9a5
hex36a6cc1

57306305 has 16 divisors (see below), whose sum is σ = 78749184. Its totient is φ = 39216960.

The previous prime is 57306281. The next prime is 57306307. The reversal of 57306305 is 50360375.

57306305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57306305 - 216 = 57240769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57306307) 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 15 ways as a sum of consecutive naturals, for example, 20120 + ... + 22790.

It is an arithmetic number, because the mean of its divisors is an integer number (4921824).

Almost surely, 257306305 is an apocalyptic number.

It is an amenable number.

57306305 is a deficient number, since it is larger than the sum of its proper divisors (21442879).

57306305 is a wasteful number, since it uses less digits than its factorization.

57306305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296.

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 57306305 is about 7570.0927999596. The cubic root of 57306305 is about 385.5382475483.

The spelling of 57306305 in words is "fifty-seven million, three hundred six thousand, three hundred five".

Divisors: 1 5 7 35 613 2671 3065 4291 13355 18697 21455 93485 1637323 8186615 11461261 57306305