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813341472 = 25317736827
BaseRepresentation
bin110000011110101…
…001101100100000
32002200110000202020
4300132221230200
53131203411342
6212412421440
726104200636
oct6036515440
92080400666
10813341472
11388123539
121a8477880
13cc674658
147a03d356
154b6100ec
hex307a9b20

813341472 has 96 divisors (see below), whose sum is σ = 2291913792. Its totient is φ = 251633664.

The previous prime is 813341467. The next prime is 813341497. The reversal of 813341472 is 274143318.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115723 + ... + 122549.

It is an arithmetic number, because the mean of its divisors is an integer number (23874102).

Almost surely, 2813341472 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 813341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145956896).

813341472 is an abundant number, since it is smaller than the sum of its proper divisors (1478572320).

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

813341472 is a wasteful number, since it uses less digits than its factorization.

813341472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6922 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 813341472 is about 28519.1422030888. The cubic root of 813341472 is about 933.4498117669.

The spelling of 813341472 in words is "eight hundred thirteen million, three hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 73 96 102 136 146 204 219 272 292 408 438 544 584 816 876 1168 1241 1632 1752 2336 2482 3504 3723 4964 6827 7008 7446 9928 13654 14892 19856 20481 27308 29784 39712 40962 54616 59568 81924 109232 116059 119136 163848 218464 232118 327696 348177 464236 498371 655392 696354 928472 996742 1392708 1495113 1856944 1993484 2785416 2990226 3713888 3986968 5570832 5980452 7973936 8472307 11141664 11960904 15947872 16944614 23921808 25416921 33889228 47843616 50833842 67778456 101667684 135556912 203335368 271113824 406670736 813341472