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813904893 = 3290433877
BaseRepresentation
bin110000100000110…
…011001111111101
32002201111122121200
4300200303033331
53131324424033
6212432450113
726112035364
oct6040631775
92081448550
10813904893
1138847887a
121a86a9939
13cc810c39
147a1487db
154b6c2013
hex308333fd

813904893 has 6 divisors (see below), whose sum is σ = 1175640414. Its totient is φ = 542603256.

The previous prime is 813904877. The next prime is 813904913. The reversal of 813904893 is 398409318.

813904893 is a `hidden beast` number, since 81 + 3 + 90 + 489 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 492706809 + 321198084 = 22197^2 + 17922^2 .

It is not a de Polignac number, because 813904893 - 24 = 813904877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813904193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45216930 + ... + 45216947.

It is an arithmetic number, because the mean of its divisors is an integer number (195940069).

Almost surely, 2813904893 is an apocalyptic number.

It is an amenable number.

813904893 is a deficient number, since it is larger than the sum of its proper divisors (361735521).

813904893 is a wasteful number, since it uses less digits than its factorization.

813904893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90433883 (or 90433880 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 813904893 is about 28529.0184373736. The cubic root of 813904893 is about 933.6653029847.

It can be divided in two parts, 8 and 13904893, that added together give a triangular number (13904901 = T5273).

The spelling of 813904893 in words is "eight hundred thirteen million, nine hundred four thousand, eight hundred ninety-three".

Divisors: 1 3 9 90433877 271301631 813904893