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630595056 = 243713314657
BaseRepresentation
bin100101100101100…
…001110111110000
31121221120112210110
4211211201313300
52242413020211
6142323501320
721424653360
oct4545416760
91557515713
10630595056
112a3a55443
12157227840
13a084b690
145da6c9a0
153a562ea6
hex25961df0

630595056 has 160 divisors (see below), whose sum is σ = 2070089728. Its totient is φ = 160911360.

The previous prime is 630595037. The next prime is 630595061. The reversal of 630595056 is 650595036.

630595056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133080 + ... + 137736.

Almost surely, 2630595056 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 630595056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035044864).

630595056 is an abundant number, since it is smaller than the sum of its proper divisors (1439494672).

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

630595056 is a wasteful number, since it uses less digits than its factorization.

630595056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 630595056 is about 25111.6517975222. The cubic root of 630595056 is about 857.5317074410.

It can be divided in two parts, 630 and 595056, that added together give a triangular number (595686 = T1091).

The spelling of 630595056 in words is "six hundred thirty million, five hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4657 4836 5208 5642 6448 8463 9314 9672 10416 11284 13971 16926 18628 19344 22568 27942 32599 33852 37256 45136 55884 60541 65198 67704 74512 97797 111768 121082 130396 135408 144367 181623 195594 223536 242164 260792 288734 363246 391188 423787 433101 484328 521584 577468 726492 782376 847574 866202 968656 1010569 1154936 1271361 1452984 1564752 1695148 1732404 1876771 2021138 2309872 2542722 2905968 3031707 3390296 3464808 3753542 4042276 5085444 5630313 6063414 6780592 6929616 7507084 8084552 10170888 11260626 12126828 13137397 15014168 16169104 20341776 22521252 24253656 26274794 30028336 39412191 45042504 48507312 52549588 78824382 90085008 105099176 157648764 210198352 315297528 630595056