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679448112 = 243721716993
BaseRepresentation
bin101000011111111…
…000111000110000
31202100111112120220
4220133320320300
52342414314422
6151230533040
722560133200
oct5037707060
91670445526
10679448112
11319592472
1216b667180
13aa9c4a05
1466348400
153e9b2e5c
hex287f8e30

679448112 has 120 divisors (see below), whose sum is σ = 2162044656. Its totient is φ = 182697984.

The previous prime is 679448093. The next prime is 679448123. The reversal of 679448112 is 211844976.

679448112 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31488 + ... + 48480.

Almost surely, 2679448112 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 679448112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081022328).

679448112 is an abundant number, since it is smaller than the sum of its proper divisors (1482596544).

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

679448112 is a wasteful number, since it uses less digits than its factorization.

679448112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17035 (or 17022 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 679448112 is about 26066.2255035132. The cubic root of 679448112 is about 879.1279722459.

The spelling of 679448112 in words is "six hundred seventy-nine million, four hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 16993 19992 33986 39984 50979 67972 101958 118951 135944 203916 237902 271888 288881 356853 407832 475804 577762 713706 815664 832657 866643 951608 1155524 1427412 1665314 1733286 1903216 2022167 2311048 2497971 2854824 3330628 3466572 4044334 4622096 4995942 5709648 6066501 6661256 6933144 8088668 9991884 12133002 13322512 13866288 14155169 16177336 19983768 24266004 28310338 32354672 39967536 42465507 48532008 56620676 84931014 97064016 113241352 169862028 226482704 339724056 679448112