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817028393 is a prime number
BaseRepresentation
bin110000101100101…
…101110100101001
32002221101100020212
4300230231310221
53133124402033
6213023430505
726150424656
oct6054556451
92087340225
10817028393
1138a211585
121a9755435
1310036586c
147a71cc2d
154badc748
hex30b2dd29

817028393 has 2 divisors, whose sum is σ = 817028394. Its totient is φ = 817028392.

The previous prime is 817028383. The next prime is 817028417. The reversal of 817028393 is 393820718.

817028393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 698914969 + 118113424 = 26437^2 + 10868^2 .

It is a cyclic number.

It is not a de Polignac number, because 817028393 - 226 = 749919529 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 817028393.

It is not a weakly prime, because it can be changed into another prime (817028383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408514196 + 408514197.

It is an arithmetic number, because the mean of its divisors is an integer number (408514197).

Almost surely, 2817028393 is an apocalyptic number.

It is an amenable number.

817028393 is a deficient number, since it is larger than the sum of its proper divisors (1).

817028393 is an equidigital number, since it uses as much as digits as its factorization.

817028393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 817028393 is about 28583.7085242626. The cubic root of 817028393 is about 934.8581454273.

It can be divided in two parts, 8170 and 28393, that added together give a palindrome (36563).

The spelling of 817028393 in words is "eight hundred seventeen million, twenty-eight thousand, three hundred ninety-three".