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57329921 = 1122292069
BaseRepresentation
bin1101101010110…
…0100100000001
310222212122212102
43122230210001
5104134024141
65404440145
71264203425
oct332544401
9128778772
1057329921
112a3a7900
1217249055
13bb5383c
147884b85
15507699b
hex36ac901

57329921 has 12 divisors (see below), whose sum is σ = 63321300. Its totient is φ = 51865440.

The previous prime is 57329917. The next prime is 57329927. The reversal of 57329921 is 12992375.

It can be written as a sum of positive squares in 2 ways, for example, as 32718400 + 24611521 = 5720^2 + 4961^2 .

It is not a de Polignac number, because 57329921 - 22 = 57329917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57329927) 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 11 ways as a sum of consecutive naturals, for example, 26675 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (5276775).

Almost surely, 257329921 is an apocalyptic number.

It is an amenable number.

57329921 is a deficient number, since it is larger than the sum of its proper divisors (5991379).

57329921 is a wasteful number, since it uses less digits than its factorization.

57329921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2309 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 57329921 is about 7571.6524616493. The cubic root of 57329921 is about 385.5912005397.

The spelling of 57329921 in words is "fifty-seven million, three hundred twenty-nine thousand, nine hundred twenty-one".

Divisors: 1 11 121 229 2069 2519 22759 27709 250349 473801 5211811 57329921