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57365253 = 351121951
BaseRepresentation
bin1101101011010…
…1001100000101
310222221110100000
43122311030011
5104141142003
65405311513
71264411431
oct332651405
9128843300
1057365253
112a421400
1217265599
13bb6694a
1478939c1
1550821a3
hex36b5305

57365253 has 36 divisors (see below), whose sum is σ = 94500224. Its totient is φ = 34749000.

The previous prime is 57365233. The next prime is 57365257. The reversal of 57365253 is 35256375.

57365253 is a `hidden beast` number, since 573 + 65 + 25 + 3 = 666.

57365253 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 57365253 - 28 = 57364997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57365257) 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 35 ways as a sum of consecutive naturals, for example, 28428 + ... + 30378.

Almost surely, 257365253 is an apocalyptic number.

It is an amenable number.

57365253 is a deficient number, since it is larger than the sum of its proper divisors (37134971).

57365253 is a wasteful number, since it uses less digits than its factorization.

57365253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1965 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 57365253 is about 7573.9852785703. The cubic root of 57365253 is about 385.6703965935.

The spelling of 57365253 in words is "fifty-seven million, three hundred sixty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 1951 2673 3267 5853 9801 17559 21461 29403 52677 64383 158031 193149 236071 474093 579447 708213 1738341 2124639 5215023 6373917 19121751 57365253