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813932509 = 13432515801
BaseRepresentation
bin110000100000111…
…001111111011101
32002201120001111111
4300200321333131
53131331320014
6212433222021
726112212035
oct6040717735
92081501444
10813932509
113884975a5
121a8701911
13cc820690
147a1548c5
154b6ca2c4
hex30839fdd

813932509 has 16 divisors (see below), whose sum is σ = 900656064. Its totient is φ = 730800000.

The previous prime is 813932491. The next prime is 813932519. The reversal of 813932509 is 905239318.

It is a cyclic number.

It is not a de Polignac number, because 813932509 - 29 = 813931997 is a prime.

It is a super-2 number, since 2×8139325092 = 1324972258414070162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813932519) 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 15 ways as a sum of consecutive naturals, for example, 137409 + ... + 143209.

It is an arithmetic number, because the mean of its divisors is an integer number (56291004).

Almost surely, 2813932509 is an apocalyptic number.

It is an amenable number.

813932509 is a deficient number, since it is larger than the sum of its proper divisors (86723555).

813932509 is a wasteful number, since it uses less digits than its factorization.

813932509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 813932509 is about 28529.5024316934. The cubic root of 813932509 is about 933.6758626990.

The spelling of 813932509 in words is "eight hundred thirteen million, nine hundred thirty-two thousand, five hundred nine".

Divisors: 1 13 43 251 559 3263 5801 10793 75413 140309 249443 1456051 3242759 18928663 62610193 813932509