Search a number
-
+
57317264 = 2431731583
BaseRepresentation
bin1101101010100…
…1011110010000
310222212000111122
43122221132100
5104133123024
65404301412
71264121504
oct332513620
9128760448
1057317264
112a399344
1217241868
13bb4ab54
147880304
155072d5e
hex36a9790

57317264 has 40 divisors (see below), whose sum is σ = 116278272. Its totient is φ = 27336960.

The previous prime is 57317257. The next prime is 57317269. The reversal of 57317264 is 46271375.

57317264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57317269) 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 7 ways as a sum of consecutive naturals, for example, 35417 + ... + 36999.

Almost surely, 257317264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57317264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58139136).

57317264 is an abundant number, since it is smaller than the sum of its proper divisors (58961008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57317264 is a wasteful number, since it uses less digits than its factorization.

57317264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 57317264 is about 7570.8166006052. The cubic root of 57317264 is about 385.5628221819.

The spelling of 57317264 in words is "fifty-seven million, three hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 73 124 146 248 292 496 584 1168 1583 2263 3166 4526 6332 9052 12664 18104 25328 36208 49073 98146 115559 196292 231118 392584 462236 785168 924472 1848944 3582329 7164658 14329316 28658632 57317264