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813157821 = 327174317657
BaseRepresentation
bin110000011101111…
…100110110111101
32002200002200211100
4300131330312331
53131132022241
6212404443313
726102504340
oct6035746675
92080080740
10813157821
11388008563
121a83a9539
13cc60bb98
1479dd2457
154b5c59b6
hex3077cdbd

813157821 has 48 divisors (see below), whose sum is σ = 1454454144. Its totient is φ = 427133952.

The previous prime is 813157819. The next prime is 813157841. The reversal of 813157821 is 128751318.

813157821 is a `hidden beast` number, since 81 + 3 + 1 + 578 + 2 + 1 = 666.

It is not a de Polignac number, because 813157821 - 21 = 813157819 is a prime.

It is a super-2 number, since 2×8131578212 = 1322451283706936082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813157841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37225 + ... + 54881.

It is an arithmetic number, because the mean of its divisors is an integer number (30301128).

Almost surely, 2813157821 is an apocalyptic number.

It is an amenable number.

813157821 is a deficient number, since it is larger than the sum of its proper divisors (641296323).

813157821 is a wasteful number, since it uses less digits than its factorization.

813157821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17730 (or 17727 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 813157821 is about 28515.9222365330. The cubic root of 813157821 is about 933.3795493980.

The spelling of 813157821 in words is "eight hundred thirteen million, one hundred fifty-seven thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 17 21 43 51 63 119 129 153 301 357 387 731 903 1071 2193 2709 5117 6579 15351 17657 46053 52971 123599 158913 300169 370797 759251 900507 1112391 2101183 2277753 2701521 5314757 6303549 6833259 12907267 15944271 18910647 38721801 47832813 90350869 116165403 271052607 813157821