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629666856 = 2332721313729
BaseRepresentation
bin100101100001111…
…111010000101000
31121212211101112200
4211201333100220
52242143314411
6142251540200
721414036300
oct4541772050
91555741480
10629666856
112a3481035
12156a5a660
13a05b5050
145d8aa600
153a42ce56
hex2587f428

629666856 has 144 divisors (see below), whose sum is σ = 2136525300. Its totient is φ = 166053888.

The previous prime is 629666809. The next prime is 629666887. The reversal of 629666856 is 658666926.

It can be written as a sum of positive squares in 2 ways, for example, as 587286756 + 42380100 = 24234^2 + 6510^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39000 + ... + 52728.

Almost surely, 2629666856 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 629666856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068262650).

629666856 is an abundant number, since it is smaller than the sum of its proper divisors (1506858444).

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

629666856 is a wasteful number, since it uses less digits than its factorization.

629666856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13768 (or 13754 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 629666856 is about 25093.1635311294. The cubic root of 629666856 is about 857.1107548929.

The spelling of 629666856 in words is "six hundred twenty-nine million, six hundred sixty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 13729 15288 22932 27458 41187 45864 54916 82374 96103 109832 123561 164748 178477 192206 247122 288309 329496 356954 384412 494244 535431 576618 672721 713908 768824 864927 988488 1070862 1153236 1249339 1345442 1427816 1606293 1729854 2018163 2141724 2306472 2498678 2690884 3212586 3459708 3748017 4036326 4283448 4997356 5381768 6054489 6425172 6919416 7496034 8072652 8745373 9994712 11244051 12108978 12850344 14992068 16145304 17490746 22488102 24217956 26236119 29984136 34981492 44976204 48435912 52472238 69962984 78708357 89952408 104944476 157416714 209888952 314833428 629666856