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809186441 = 7239741597
BaseRepresentation
bin110000001110110…
…011010010001001
32002101121221010012
4300032303102021
53124122431231
6212143401305
726023654100
oct6016632211
92071557105
10809186441
11385845828
121a6bb3235
13cb84b35b
147967b037
154b08de2b
hex303b3489

809186441 has 12 divisors (see below), whose sum is σ = 943692228. Its totient is φ = 691824672.

The previous prime is 809186431. The next prime is 809186467. The reversal of 809186441 is 144681908.

It can be written as a sum of positive squares in 2 ways, for example, as 405015625 + 404170816 = 20125^2 + 20104^2 .

It is a de Polignac number, because none of the positive numbers 2k-809186441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809186401) 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 11 ways as a sum of consecutive naturals, for example, 1346 + ... + 40251.

It is an arithmetic number, because the mean of its divisors is an integer number (78641019).

Almost surely, 2809186441 is an apocalyptic number.

It is an amenable number.

809186441 is a deficient number, since it is larger than the sum of its proper divisors (134505787).

809186441 is a wasteful number, since it uses less digits than its factorization.

809186441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42008 (or 42001 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 809186441 is about 28446.2025760909. The cubic root of 809186441 is about 931.8575587264.

The spelling of 809186441 in words is "eight hundred nine million, one hundred eighty-six thousand, four hundred forty-one".

Divisors: 1 7 49 397 2779 19453 41597 291179 2038253 16514009 115598063 809186441