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826630112 = 257111917657
BaseRepresentation
bin110001010001010…
…101111111100000
32010121110011100002
4301101111333200
53143104130422
6214005315132
726325145220
oct6121257740
92117404302
10826630112
1139467a490
121b0a05aa8
13102348059
147badc080
154c887692
hex31455fe0

826630112 has 96 divisors (see below), whose sum is σ = 2135911680. Its totient is φ = 305095680.

The previous prime is 826630099. The next prime is 826630139. The reversal of 826630112 is 211036628.

826630112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 37988 + ... + 55644.

It is an arithmetic number, because the mean of its divisors is an integer number (22249080).

Almost surely, 2826630112 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 826630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067955840).

826630112 is an abundant number, since it is smaller than the sum of its proper divisors (1309281568).

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

826630112 is a wasteful number, since it uses less digits than its factorization.

826630112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17704 (or 17696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 826630112 is about 28751.1758368245. The cubic root of 826630112 is about 938.5060439729.

The spelling of 826630112 in words is "eight hundred twenty-six million, six hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 11704 17657 23408 35314 46816 70628 123599 141256 194227 247198 282512 335483 388454 494396 565024 670966 776908 988792 1341932 1359589 1553816 1977584 2348381 2683864 2719178 3107632 3690313 3955168 4696762 5367728 5438356 6215264 7380626 9393524 10735456 10876712 14761252 18787048 21753424 25832191 29522504 37574096 43506848 51664382 59045008 75148192 103328764 118090016 206657528 413315056 826630112