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58310825 = 5211320641
BaseRepresentation
bin1101111001110…
…0000010101001
311001201111102012
43132130002221
5104411421300
65441445305
71305430256
oct336340251
9131644365
1058310825
112aa07871
1217640835
13c108161
147a5c42d
1551bc435
hex379c0a9

58310825 has 12 divisors (see below), whose sum is σ = 72948828. Its totient is φ = 46233600.

The previous prime is 58310803. The next prime is 58310831. The reversal of 58310825 is 52801385.

It is a happy number.

58310825 is digitally balanced in base 2, 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 6 ways, for example, as 21780889 + 36529936 = 4667^2 + 6044^2 .

It is not a de Polignac number, because 58310825 - 214 = 58294441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58310791 and 58310800.

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 11 ways as a sum of consecutive naturals, for example, 7496 + ... + 13145.

It is an arithmetic number, because the mean of its divisors is an integer number (6079069).

Almost surely, 258310825 is an apocalyptic number.

It is an amenable number.

58310825 is a deficient number, since it is larger than the sum of its proper divisors (14638003).

58310825 is a wasteful number, since it uses less digits than its factorization.

58310825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764 (or 20759 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 58310825 is about 7636.1524997868. The cubic root of 58310825 is about 387.7779067829. Note that the first 3 decimals are identical.

The spelling of 58310825 in words is "fifty-eight million, three hundred ten thousand, eight hundred twenty-five".

Divisors: 1 5 25 113 565 2825 20641 103205 516025 2332433 11662165 58310825