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813450232 = 237292571949
BaseRepresentation
bin110000011111000…
…100001111111000
32002200122112221101
4300133010033320
53131220401412
6212415021144
726105133010
oct6037041770
92080575841
10813450232
11388198221
121a850a7b4
13cc6b1cca
147a06ac40
154b632457
hex307c43f8

813450232 has 64 divisors (see below), whose sum is σ = 1811160000. Its totient is φ = 335118336.

The previous prime is 813450227. The next prime is 813450251. The reversal of 813450232 is 232054318.

813450232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 813450232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416394 + ... + 418342.

It is an arithmetic number, because the mean of its divisors is an integer number (28299375).

Almost surely, 2813450232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813450232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905580000).

813450232 is an abundant number, since it is smaller than the sum of its proper divisors (997709768).

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

813450232 is a wasteful number, since it uses less digits than its factorization.

813450232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 813450232 is about 28521.0489288175. The cubic root of 813450232 is about 933.4914168738.

The spelling of 813450232 in words is "eight hundred thirteen million, four hundred fifty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 257 406 514 812 1028 1624 1799 1949 2056 3598 3898 7196 7453 7796 13643 14392 14906 15592 27286 29812 52171 54572 56521 59624 104342 109144 113042 208684 226084 395647 417368 452168 500893 791294 1001786 1582588 2003572 3165176 3506251 4007144 7012502 14025004 14525897 28050008 29051794 58103588 101681279 116207176 203362558 406725116 813450232