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58849829 is a prime number
BaseRepresentation
bin1110000001111…
…1101000100101
311002201212210022
43200133220211
5110031143304
65501204525
71313133563
oct340375045
9132655708
1058849829
1130245825
1217860745
13c2665ac
147b5ca33
155276ebe
hex381fa25

58849829 has 2 divisors, whose sum is σ = 58849830. Its totient is φ = 58849828.

The previous prime is 58849759. The next prime is 58849831. The reversal of 58849829 is 92894885.

58849829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54789604 + 4060225 = 7402^2 + 2015^2 .

It is a cyclic number.

It is not a de Polignac number, because 58849829 - 212 = 58845733 is a prime.

Together with 58849831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58849849) by changing a digit.

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 as a sum of consecutive naturals, namely, 29424914 + 29424915.

It is an arithmetic number, because the mean of its divisors is an integer number (29424915).

Almost surely, 258849829 is an apocalyptic number.

It is an amenable number.

58849829 is a deficient number, since it is larger than the sum of its proper divisors (1).

58849829 is an equidigital number, since it uses as much as digits as its factorization.

58849829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1658880, while the sum is 53.

The square root of 58849829 is about 7671.3642202675. The cubic root of 58849829 is about 388.9690699101.

The spelling of 58849829 in words is "fifty-eight million, eight hundred forty-nine thousand, eight hundred twenty-nine".