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7520825 = 521373317
BaseRepresentation
bin11100101100001000111001
3112011002122002
4130230020321
53411131300
6425110345
7120632414
oct34541071
915132562
107520825
114277564
1226283b5
1317342c0
14ddab7b
159d85d5
hex72c239

7520825 has 24 divisors (see below), whose sum is σ = 10212888. Its totient is φ = 5460480.

The previous prime is 7520819. The next prime is 7520837. The reversal of 7520825 is 5280257.

7520825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5112121 + 2408704 = 2261^2 + 1552^2 .

It is not a de Polignac number, because 7520825 - 24 = 7520809 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 23567 + ... + 23883.

It is an arithmetic number, because the mean of its divisors is an integer number (425537).

Almost surely, 27520825 is an apocalyptic number.

It is an amenable number.

7520825 is a deficient number, since it is larger than the sum of its proper divisors (2692063).

7520825 is a wasteful number, since it uses less digits than its factorization.

7520825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 7520825 is about 2742.4122593075. The cubic root of 7520825 is about 195.9243860072.

The spelling of 7520825 in words is "seven million, five hundred twenty thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 73 317 325 365 949 1585 1825 4121 4745 7925 20605 23141 23725 103025 115705 300833 578525 1504165 7520825