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813207625 = 5322928409
BaseRepresentation
bin110000011110001…
…001000001001001
32002200012020010221
4300132021001021
53131140121000
6212405510041
726103102466
oct6036110111
92080166127
10813207625
11388041a1a
121a8412321
13cc628759
147a00666d
154b5d561a
hex30789049

813207625 has 16 divisors (see below), whose sum is σ = 1019350800. Its totient is φ = 647702400.

The previous prime is 813207617. The next prime is 813207643. The reversal of 813207625 is 526702318.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58936329 + 754271296 = 7677^2 + 27464^2 .

It is not a de Polignac number, because 813207625 - 23 = 813207617 is a prime.

It is a super-3 number, since 3×8132076253 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14421 + ... + 42829.

It is an arithmetic number, because the mean of its divisors is an integer number (63709425).

Almost surely, 2813207625 is an apocalyptic number.

It is an amenable number.

813207625 is a deficient number, since it is larger than the sum of its proper divisors (206143175).

813207625 is a wasteful number, since it uses less digits than its factorization.

813207625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653 (or 28643 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 813207625 is about 28516.7954896759. The cubic root of 813207625 is about 933.3986047748.

The spelling of 813207625 in words is "eight hundred thirteen million, two hundred seven thousand, six hundred twenty-five".

Divisors: 1 5 25 125 229 1145 5725 28409 28625 142045 710225 3551125 6505661 32528305 162641525 813207625