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807673856 = 213118963
BaseRepresentation
bin110000001001000…
…010000000000000
32002021210002020112
4300021002000000
53123231030411
6212051130452
726005054163
oct6011020000
92067702215
10807673856
11384a02360
121a65a3a28
13cb43ba32
14793a5ada
154ad90b8b
hex30242000

807673856 has 56 divisors (see below), whose sum is σ = 1762286544. Its totient is φ = 367083520.

The previous prime is 807673849. The next prime is 807673861. The reversal of 807673856 is 658376708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85631 + ... + 94593.

Almost surely, 2807673856 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 807673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881143272).

807673856 is an abundant number, since it is smaller than the sum of its proper divisors (954612688).

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

807673856 is an equidigital number, since it uses as much as digits as its factorization.

807673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 807673856 is about 28419.6033751353. The cubic root of 807673856 is about 931.2765665679.

The spelling of 807673856 in words is "eight hundred seven million, six hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 8963 11264 17926 22528 35852 45056 71704 90112 98593 143408 197186 286816 394372 573632 788744 1147264 1577488 2294528 3154976 4589056 6309952 9178112 12619904 18356224 25239808 36712448 50479616 73424896 100959232 201918464 403836928 807673856