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82515393 = 3215975741
BaseRepresentation
bin1001110101100…
…01010111000001
312202021012211200
410322301113001
5132110443033
612104331413
72021240442
oct472612701
9182235750
1082515393
114263a044
1223773b69
131413129c
14ad5d2c9
15739e013
hex4eb15c1

82515393 has 12 divisors (see below), whose sum is σ = 119284308. Its totient is φ = 54966240.

The previous prime is 82515383. The next prime is 82515401. The reversal of 82515393 is 39351528.

It can be written as a sum of positive squares in 2 ways, for example, as 28227969 + 54287424 = 5313^2 + 7368^2 .

It is not a de Polignac number, because 82515393 - 25 = 82515361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82515313) 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, 11503 + ... + 17243.

It is an arithmetic number, because the mean of its divisors is an integer number (9940359).

Almost surely, 282515393 is an apocalyptic number.

It is an amenable number.

82515393 is a deficient number, since it is larger than the sum of its proper divisors (36768915).

82515393 is a wasteful number, since it uses less digits than its factorization.

82515393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7341 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 82515393 is about 9083.7983795327. The cubic root of 82515393 is about 435.3564577243.

The spelling of 82515393 in words is "eighty-two million, five hundred fifteen thousand, three hundred ninety-three".

Divisors: 1 3 9 1597 4791 5741 14373 17223 51669 9168377 27505131 82515393