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808593825 = 352132693083
BaseRepresentation
bin110000001100100…
…010100110100001
32002100111211012110
4300030202212201
53124000000300
6212122545533
726015635254
oct6014424641
92070454173
10808593825
11385480566
121a69682a9
13cb6a16b0
147956509b
154aec3550
hex303229a1

808593825 has 48 divisors (see below), whose sum is σ = 1445532480. Its totient is φ = 396468480.

The previous prime is 808593817. The next prime is 808593827. The reversal of 808593825 is 528395808.

It is not a de Polignac number, because 808593825 - 23 = 808593817 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (808593827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260734 + ... + 263816.

It is an arithmetic number, because the mean of its divisors is an integer number (30115260).

Almost surely, 2808593825 is an apocalyptic number.

It is an amenable number.

808593825 is a deficient number, since it is larger than the sum of its proper divisors (636938655).

808593825 is a wasteful number, since it uses less digits than its factorization.

808593825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 808593825 is about 28435.7842339542. The cubic root of 808593825 is about 931.6300180191.

The spelling of 808593825 in words is "eight hundred eight million, five hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 269 325 807 975 1345 3083 3497 4035 6725 9249 10491 15415 17485 20175 40079 46245 52455 77075 87425 120237 200395 231225 262275 601185 829327 1001975 2487981 3005925 4146635 10781251 12439905 20733175 32343753 53906255 62199525 161718765 269531275 808593825