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807361604 = 227197320789
BaseRepresentation
bin110000000111110…
…101110001000100
32002021012012220122
4300013311301010
53123141032404
6212040321112
726002313630
oct6007656104
92067165818
10807361604
113848097a5
121a6473198
13cb35c87a
1479323dc0
154ad2d3be
hex301f5c44

807361604 has 48 divisors (see below), whose sum is σ = 1723075200. Its totient is φ = 323294976.

The previous prime is 807361589. The next prime is 807361649. The reversal of 807361604 is 406163708.

It is a super-2 number, since 2×8073616042 = 1303665519226905632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28442 + ... + 49230.

It is an arithmetic number, because the mean of its divisors is an integer number (35897400).

Almost surely, 2807361604 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 807361604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861537600).

807361604 is an abundant number, since it is smaller than the sum of its proper divisors (915713596).

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

807361604 is a wasteful number, since it uses less digits than its factorization.

807361604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 807361604 is about 28414.1092417130. The cubic root of 807361604 is about 931.1565385597.

The spelling of 807361604 in words is "eight hundred seven million, three hundred sixty-one thousand, six hundred four".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 2044 2774 5548 9709 19418 20789 38836 41578 83156 145523 291046 394991 582092 789982 1517597 1579964 2764937 3035194 5529874 6070388 10623179 11059748 21246358 28834343 42492716 57668686 115337372 201840401 403680802 807361604