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57297664 = 284153103
BaseRepresentation
bin1101101010010…
…0101100000000
310222211000121201
43122210230000
5104132011124
65404030544
71264010404
oct332445400
9128730551
1057297664
112a385646
1217232454
13bb41c58
147877104
15506c144
hex36a4b00

57297664 has 72 divisors (see below), whose sum is σ = 120530592. Its totient is φ = 27156480.

The previous prime is 57297661. The next prime is 57297671. The reversal of 57297664 is 46679275.

It is not an unprimeable number, because it can be changed into a prime (57297661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556237 + ... + 556339.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 257297664 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 57297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60265296).

57297664 is an abundant number, since it is smaller than the sum of its proper divisors (63232928).

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

57297664 is a wasteful number, since it uses less digits than its factorization.

57297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The square root of 57297664 is about 7569.5220456777. The cubic root of 57297664 is about 385.5188686250.

The spelling of 57297664 in words is "fifty-seven million, two hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 53 64 82 103 106 128 164 206 212 256 328 412 424 656 824 848 1312 1648 1696 2173 2624 3296 3392 4223 4346 5248 5459 6592 6784 8446 8692 10496 10918 13184 13568 16892 17384 21836 26368 33784 34768 43672 67568 69536 87344 135136 139072 174688 223819 270272 278144 349376 447638 540544 556288 698752 895276 1081088 1397504 1790552 3581104 7162208 14324416 28648832 57297664