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808085837 = 13217733853
BaseRepresentation
bin110000001010100…
…110100101001101
32002022120000101002
4300022212211031
53123332221322
6212104030045
726011421246
oct6012464515
92068500332
10808085837
11385163939
121a6762325
13cb554400
1479471ccd
154ae22c92
hex302a694d

808085837 has 24 divisors (see below), whose sum is σ = 939435624. Its totient is φ = 692250624.

The previous prime is 808085833. The next prime is 808085843. The reversal of 808085837 is 738580808.

It can be written as a sum of positive squares in 12 ways, for example, as 52330756 + 755755081 = 7234^2 + 27491^2 .

It is not a de Polignac number, because 808085837 - 22 = 808085833 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 808085791 and 808085800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808085833) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 207803 + ... + 211655.

It is an arithmetic number, because the mean of its divisors is an integer number (39143151).

Almost surely, 2808085837 is an apocalyptic number.

It is an amenable number.

808085837 is a deficient number, since it is larger than the sum of its proper divisors (131349787).

808085837 is a wasteful number, since it uses less digits than its factorization.

808085837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The square root of 808085837 is about 28426.8506345673. The cubic root of 808085837 is about 931.4348825484.

The spelling of 808085837 in words is "eight hundred eight million, eighty-five thousand, eight hundred thirty-seven".

Divisors: 1 13 17 73 169 221 949 1241 2873 3853 12337 16133 50089 65501 209729 281269 651157 851513 3656497 4781573 11069669 47534461 62160449 808085837