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58381825 = 5217137369
BaseRepresentation
bin1101111010110…
…1011000000001
311001212002210211
43132231120001
5104421204300
65443154121
71306144255
oct336553001
9131762724
1058381825
112aa56147
1217675941
13c131578
147a7a265
1551d34ba
hex37ad601

58381825 has 12 divisors (see below), whose sum is σ = 76652460. Its totient is φ = 43957760.

The previous prime is 58381793. The next prime is 58381837. The reversal of 58381825 is 52818385.

58381825 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 986049 + 57395776 = 993^2 + 7576^2 .

It is not a de Polignac number, because 58381825 - 25 = 58381793 is a prime.

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, 68260 + ... + 69109.

It is an arithmetic number, because the mean of its divisors is an integer number (6387705).

Almost surely, 258381825 is an apocalyptic number.

It is an amenable number.

58381825 is a deficient number, since it is larger than the sum of its proper divisors (18270635).

58381825 is a wasteful number, since it uses less digits than its factorization.

58381825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137396 (or 137391 counting only the distinct ones).

The product of its digits is 76800, while the sum is 40.

The square root of 58381825 is about 7640.8000235577. The cubic root of 58381825 is about 387.9352307127.

The spelling of 58381825 in words is "fifty-eight million, three hundred eighty-one thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 425 137369 686845 2335273 3434225 11676365 58381825