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809668608 = 212379413
BaseRepresentation
bin110000010000101…
…001000000000000
32002102112102112020
4300100221000000
53124233343413
6212202001440
726031032610
oct6020510000
92072472466
10809668608
11386045011
121a71a6280
13cb989968
1479764a40
154b136c23
hex30429000

809668608 has 104 divisors (see below), whose sum is σ = 2467522368. Its totient is φ = 231309312.

The previous prime is 809668579. The next prime is 809668619. The reversal of 809668608 is 806866908.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81310 + ... + 90722.

Almost surely, 2809668608 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 809668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233761184).

809668608 is an abundant number, since it is smaller than the sum of its proper divisors (1657853760).

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

809668608 is an equidigital number, since it uses as much as digits as its factorization.

809668608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 809668608 is about 28454.6763819236. The cubic root of 809668608 is about 932.0426095079.

The spelling of 809668608 in words is "eight hundred nine million, six hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 9413 10752 12288 14336 18826 21504 28239 28672 37652 43008 56478 65891 75304 86016 112956 131782 150608 197673 225912 263564 301216 395346 451824 527128 602432 790692 903648 1054256 1204864 1581384 1807296 2108512 2409728 3162768 3614592 4217024 4819456 6325536 7229184 8434048 9638912 12651072 14458368 16868096 19277824 25302144 28916736 33736192 38555648 50604288 57833472 67472384 101208576 115666944 134944768 202417152 269889536 404834304 809668608