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57304961 = 723533313
BaseRepresentation
bin1101101010011…
…0011110000001
310222211101121222
43122212132001
5104132224321
65404124425
71264040600
oct332463601
9128741558
1057304961
112a39007a
1217236715
13bb4537c
147879a37
15506e3ab
hex36a6781

57304961 has 12 divisors (see below), whose sum is σ = 66869892. Its totient is φ = 48964608.

The previous prime is 57304889. The next prime is 57304963. The reversal of 57304961 is 16940375.

57304961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40132225 + 17172736 = 6335^2 + 4144^2 .

It is a de Polignac number, because none of the positive numbers 2k-57304961 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57304963) 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 11 ways as a sum of consecutive naturals, for example, 15641 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (5572491).

Almost surely, 257304961 is an apocalyptic number.

It is an amenable number.

57304961 is a deficient number, since it is larger than the sum of its proper divisors (9564931).

57304961 is a wasteful number, since it uses less digits than its factorization.

57304961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 57304961 is about 7570.0040290610. The cubic root of 57304961 is about 385.5352335259.

The spelling of 57304961 in words is "fifty-seven million, three hundred four thousand, nine hundred sixty-one".

Divisors: 1 7 49 353 2471 3313 17297 23191 162337 1169489 8186423 57304961