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813722256 = 243210155949
BaseRepresentation
bin110000100000000…
…110101010010000
32002201011101002100
4300200012222100
53131303103011
6212424520400
726110345044
oct6040065220
92081141070
10813722256
11388363636
121a8620100
13cc778a79
147a0dc024
154b687d56
hex30806a90

813722256 has 60 divisors (see below), whose sum is σ = 2299880700. Its totient is φ = 268550400.

The previous prime is 813722219. The next prime is 813722257. The reversal of 813722256 is 652227318.

It can be written as a sum of positive squares in 2 ways, for example, as 537497856 + 276224400 = 23184^2 + 16620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 813722256.

It is not an unprimeable number, because it can be changed into a prime (813722257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13431 + ... + 42518.

It is an arithmetic number, because the mean of its divisors is an integer number (38331345).

Almost surely, 2813722256 is an apocalyptic number.

It is an amenable number.

813722256 is an abundant number, since it is smaller than the sum of its proper divisors (1486158444).

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

813722256 is a wasteful number, since it uses less digits than its factorization.

813722256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56064 (or 56055 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 813722256 is about 28525.8173590171. The cubic root of 813722256 is about 933.5954608415.

The spelling of 813722256 in words is "eight hundred thirteen million, seven hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 55949 111898 167847 223796 335694 447592 503541 671388 895184 1007082 1342776 2014164 2685552 4028328 5650849 8056656 11301698 16952547 22603396 33905094 45206792 50857641 67810188 90413584 101715282 135620376 203430564 271240752 406861128 813722256