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82918393 is a prime number
BaseRepresentation
bin1001111000100…
…11101111111001
312210000200122121
410330103233321
5132211342033
612121121241
72024536405
oct474235771
9183020577
1082918393
11428948a8
1223929221
131424284c
14b026105
15742d62d
hex4f13bf9

82918393 has 2 divisors, whose sum is σ = 82918394. Its totient is φ = 82918392.

The previous prime is 82918357. The next prime is 82918403. The reversal of 82918393 is 39381928.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44515584 + 38402809 = 6672^2 + 6197^2 .

It is a cyclic number.

It is not a de Polignac number, because 82918393 - 225 = 49363961 is a prime.

It is a super-3 number, since 3×829183933 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82918343) 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 as a sum of consecutive naturals, namely, 41459196 + 41459197.

It is an arithmetic number, because the mean of its divisors is an integer number (41459197).

Almost surely, 282918393 is an apocalyptic number.

It is an amenable number.

82918393 is a deficient number, since it is larger than the sum of its proper divisors (1).

82918393 is an equidigital number, since it uses as much as digits as its factorization.

82918393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 43.

The square root of 82918393 is about 9105.9537117207. The cubic root of 82918393 is about 436.0640582169.

The spelling of 82918393 in words is "eighty-two million, nine hundred eighteen thousand, three hundred ninety-three".