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809148393 = 3329968459
BaseRepresentation
bin110000001110101…
…001111111101001
32002101112222221000
4300032221333221
53124120222033
6212142505213
726023435134
oct6016517751
92071488830
10809148393
1138581a189
121a6b95209
13cb836c41
147966b21b
154b082a13
hex303a9fe9

809148393 has 8 divisors (see below), whose sum is σ = 1198738400. Its totient is φ = 539432244.

The previous prime is 809148359. The next prime is 809148409. The reversal of 809148393 is 393841908.

809148393 is a `hidden beast` number, since 80 + 9 + 1 + 483 + 93 = 666.

It is not a de Polignac number, because 809148393 - 213 = 809140201 is a prime.

It is a super-2 number, since 2×8091483932 = 1309442243788964898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809148323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14984203 + ... + 14984256.

It is an arithmetic number, because the mean of its divisors is an integer number (149842300).

Almost surely, 2809148393 is an apocalyptic number.

It is an amenable number.

809148393 is a deficient number, since it is larger than the sum of its proper divisors (389590007).

809148393 is a wasteful number, since it uses less digits than its factorization.

809148393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29968468 (or 29968462 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 809148393 is about 28445.5337970656. The cubic root of 809148393 is about 931.8429531628.

The spelling of 809148393 in words is "eight hundred nine million, one hundred forty-eight thousand, three hundred ninety-three".

Divisors: 1 3 9 27 29968459 89905377 269716131 809148393