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813830556 = 2237114320483
BaseRepresentation
bin110000100000100…
…001000110011100
32002201100212122110
4300200201012130
53131320034211
6212431114020
726111305560
oct6040410634
92081325573
10813830556
11388427a40
121a8672910
13cc7b6156
147a1296a0
154b6a9ea6
hex3082119c

813830556 has 96 divisors (see below), whose sum is σ = 2422683648. Its totient is φ = 206458560.

The previous prime is 813830543. The next prime is 813830573. The reversal of 813830556 is 655038318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29491 + ... + 49973.

It is an arithmetic number, because the mean of its divisors is an integer number (25236288).

Almost surely, 2813830556 is an apocalyptic number.

813830556 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813830556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211341824).

813830556 is an abundant number, since it is smaller than the sum of its proper divisors (1608853092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813830556 is a wasteful number, since it uses less digits than its factorization.

813830556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20551 (or 20549 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 813830556 is about 28527.7155762602. The cubic root of 813830556 is about 933.6368770628.

The spelling of 813830556 in words is "eight hundred thirteen million, eight hundred thirty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1204 1419 1806 1892 2838 3311 3612 5676 6622 9933 13244 19866 20483 39732 40966 61449 81932 122898 143381 225313 245796 286762 430143 450626 573524 675939 860286 880769 901252 1351878 1577191 1720572 1761538 2642307 2703756 3154382 3523076 4731573 5284614 6165383 6308764 9463146 9688459 10569228 12330766 18496149 18926292 19376918 24661532 29065377 36992298 38753836 58130754 67819213 73984596 116261508 135638426 203457639 271276852 406915278 813830556