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704976864 = 253231392297
BaseRepresentation
bin101010000001010…
…001011111100000
31211010112112110020
4222001101133200
52420433224424
6153542033440
723320130064
oct5201213740
91733475406
10704976864
11331a39609
12178118880
13b3092797
14698b1aa4
1541d57079
hex2a0517e0

704976864 has 96 divisors (see below), whose sum is σ = 1945762560. Its totient is φ = 223060992.

The previous prime is 704976827. The next prime is 704976907. The reversal of 704976864 is 468679407.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305764 + ... + 308060.

It is an arithmetic number, because the mean of its divisors is an integer number (20268360).

Almost surely, 2704976864 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 704976864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972881280).

704976864 is an abundant number, since it is smaller than the sum of its proper divisors (1240785696).

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

704976864 is a wasteful number, since it uses less digits than its factorization.

704976864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 704976864 is about 26551.4004150440. The cubic root of 704976864 is about 890.0033093342.

The spelling of 704976864 in words is "seven hundred four million, nine hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 139 184 276 278 368 417 552 556 736 834 1104 1112 1668 2208 2224 2297 3197 3336 4448 4594 6394 6672 6891 9188 9591 12788 13344 13782 18376 19182 25576 27564 36752 38364 51152 52831 55128 73504 76728 102304 105662 110256 153456 158493 211324 220512 306912 316986 319283 422648 633972 638566 845296 957849 1267944 1277132 1690592 1915698 2535888 2554264 3831396 5071776 5108528 7343509 7662792 10217056 14687018 15325584 22030527 29374036 30651168 44061054 58748072 88122108 117496144 176244216 234992288 352488432 704976864