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810440825 = 52241134513
BaseRepresentation
bin110000010011100…
…101100001111001
32002110222122210212
4300103211201321
53124433101300
6212230320505
726040430145
oct6023454171
92073878725
10810440825
11386522207
121a74b9135
13cbb9a2ac
14798c6225
154b23a935
hex304e5879

810440825 has 12 divisors (see below), whose sum is σ = 1009124028. Its totient is φ = 645657600.

The previous prime is 810440819. The next prime is 810440849. The reversal of 810440825 is 528044018.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7795264 + 802645561 = 2792^2 + 28331^2 .

It is not a de Polignac number, because 810440825 - 214 = 810424441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 810440791 and 810440800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61232 + ... + 73281.

It is an arithmetic number, because the mean of its divisors is an integer number (84093669).

Almost surely, 2810440825 is an apocalyptic number.

It is an amenable number.

810440825 is a deficient number, since it is larger than the sum of its proper divisors (198683203).

810440825 is a wasteful number, since it uses less digits than its factorization.

810440825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134764 (or 134759 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 810440825 is about 28468.2423939378. The cubic root of 810440825 is about 932.3388255343.

The spelling of 810440825 in words is "eight hundred ten million, four hundred forty thousand, eight hundred twenty-five".

Divisors: 1 5 25 241 1205 6025 134513 672565 3362825 32417633 162088165 810440825