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813387309 = 37211534799
BaseRepresentation
bin110000011110110…
…100111000101101
32002200112100121220
4300132310320231
53131211343214
6212413413553
726104451400
oct6036647055
92080470556
10813387309
11388154a19
121a849a2b9
13cc68c487
147a051d37
154b61d9a9
hex307b4e2d

813387309 has 24 divisors (see below), whose sum is σ = 1262937600. Its totient is φ = 464292864.

The previous prime is 813387307. The next prime is 813387313. The reversal of 813387309 is 903783318.

It is not a de Polignac number, because 813387309 - 21 = 813387307 is a prime.

It is a super-2 number, since 2×8133873092 = 1323197828884522962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813387307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167092 + ... + 171890.

It is an arithmetic number, because the mean of its divisors is an integer number (52622400).

Almost surely, 2813387309 is an apocalyptic number.

It is an amenable number.

813387309 is a deficient number, since it is larger than the sum of its proper divisors (449550291).

813387309 is a wasteful number, since it uses less digits than its factorization.

813387309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 813387309 is about 28519.9458099064. The cubic root of 813387309 is about 933.4673467289.

The spelling of 813387309 in words is "eight hundred thirteen million, three hundred eighty-seven thousand, three hundred nine".

Divisors: 1 3 7 21 49 147 1153 3459 4799 8071 14397 24213 33593 56497 100779 169491 235151 705453 5533247 16599741 38732729 116198187 271129103 813387309