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57207864 = 23372291487
BaseRepresentation
bin1101101000111…
…0110000111000
310222122110102210
43122032300320
5104121122424
65402055120
71263154530
oct332166070
9128573383
1057207864
112a32412a
12171aa4a0
13bb1010c
1478524c0
155050729
hex368ec38

57207864 has 64 divisors (see below), whose sum is σ = 164275200. Its totient is φ = 16262784.

The previous prime is 57207853. The next prime is 57207869. The reversal of 57207864 is 46870275.

57207864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57207869) 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 15 ways as a sum of consecutive naturals, for example, 37729 + ... + 39215.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 257207864 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 57207864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

57207864 is an abundant number, since it is smaller than the sum of its proper divisors (107067336).

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

57207864 is a wasteful number, since it uses less digits than its factorization.

57207864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 57207864 is about 7563.5880374330. The cubic root of 57207864 is about 385.3173613055.

The spelling of 57207864 in words is "fifty-seven million, two hundred seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1487 1603 1832 2748 2974 3206 4461 4809 5496 5948 6412 8922 9618 10409 11896 12824 17844 19236 20818 31227 35688 38472 41636 62454 83272 124908 249816 340523 681046 1021569 1362092 2043138 2383661 2724184 4086276 4767322 7150983 8172552 9534644 14301966 19069288 28603932 57207864