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57813921 = 3211253089
BaseRepresentation
bin1101110010001…
…0101110100001
311000210020210100
43130202232201
5104300021141
65423053013
71301260464
oct334425641
9130706710
1057813921
112a6a8500
1217441169
13bc92c29
14796d2db
1551200b6
hex3722ba1

57813921 has 18 divisors (see below), whose sum is σ = 91792610. Its totient is φ = 35038080.

The previous prime is 57813871. The next prime is 57813953. The reversal of 57813921 is 12931875.

57813921 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 only one way, i.e., 36469521 + 21344400 = 6039^2 + 4620^2 .

It is not a de Polignac number, because 57813921 - 219 = 57289633 is a prime.

It is a super-2 number, since 2×578139212 = 6684898922788482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57813961) 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 17 ways as a sum of consecutive naturals, for example, 25456 + ... + 27633.

Almost surely, 257813921 is an apocalyptic number.

It is an amenable number.

57813921 is a deficient number, since it is larger than the sum of its proper divisors (33978689).

57813921 is a wasteful number, since it uses less digits than its factorization.

57813921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53117 (or 53103 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 57813921 is about 7603.5466066830. The cubic root of 57813921 is about 386.6732614643.

The spelling of 57813921 in words is "fifty-seven million, eight hundred thirteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 53089 159267 477801 583979 1751937 5255811 6423769 19271307 57813921