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827308393 = 1928327611
BaseRepresentation
bin110001010011111…
…011100101101001
32010122201121202121
4301103323211221
53143242332033
6214032031241
726334001552
oct6123734551
92118647677
10827308393
11394aa304a
121b1092521
131025249c2
147bc37329
154c96d62d
hex314fb969

827308393 has 12 divisors (see below), whose sum is σ = 883694448. Its totient is φ = 774294840.

The previous prime is 827308381. The next prime is 827308403. The reversal of 827308393 is 393803728.

It is not a de Polignac number, because 827308393 - 221 = 825211241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827308793) 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 11 ways as a sum of consecutive naturals, for example, 16158 + ... + 43768.

It is an arithmetic number, because the mean of its divisors is an integer number (73641204).

Almost surely, 2827308393 is an apocalyptic number.

827308393 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

827308393 is a deficient number, since it is larger than the sum of its proper divisors (56386055).

827308393 is a wasteful number, since it uses less digits than its factorization.

827308393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27732 (or 27713 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 827308393 is about 28762.9691269869. The cubic root of 827308393 is about 938.7626669284.

The spelling of 827308393 in words is "eight hundred twenty-seven million, three hundred eight thousand, three hundred ninety-three".

Divisors: 1 19 83 361 1577 27611 29963 524609 2291713 9967571 43542547 827308393