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630272256 = 2831947919
BaseRepresentation
bin100101100100010…
…011000100000000
31121220222010222220
4211210103010000
52242322203011
6142312531040
721422140305
oct4544230400
91556863886
10630272256
112a3854969
121570b0a80
13a0767783
145d9c70ac
153a4ec506
hex25913100

630272256 has 144 divisors (see below), whose sum is σ = 1805260800. Its totient is φ = 194586624.

The previous prime is 630272233. The next prime is 630272267. The reversal of 630272256 is 652272036.

It is a happy 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, 685365 + ... + 686283.

Almost surely, 2630272256 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 630272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902630400).

630272256 is an abundant number, since it is smaller than the sum of its proper divisors (1174988544).

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

630272256 is a wasteful number, since it uses less digits than its factorization.

630272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 630272256 is about 25105.2236795453. The cubic root of 630272256 is about 857.3853597023.

The spelling of 630272256 in words is "six hundred thirty million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 128 141 152 188 192 228 256 282 304 376 384 456 564 608 752 768 893 912 919 1128 1216 1504 1786 1824 1838 2256 2432 2679 2757 3008 3572 3648 3676 4512 4864 5358 5514 6016 7144 7296 7352 9024 10716 11028 12032 14288 14592 14704 17461 18048 21432 22056 28576 29408 34922 36096 42864 43193 44112 52383 57152 58816 69844 85728 86386 88224 104766 114304 117632 129579 139688 171456 172772 176448 209532 228608 235264 259158 279376 342912 345544 352896 419064 518316 558752 685824 691088 705792 820667 838128 1036632 1117504 1382176 1641334 1676256 2073264 2235008 2462001 2764352 3282668 3352512 4146528 4470016 4924002 5528704 6565336 6705024 8293056 9848004 11057408 13130672 13410048 16586112 19696008 26261344 33172224 39392016 52522688 78784032 105045376 157568064 210090752 315136128 630272256