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58132241 is a prime number
BaseRepresentation
bin1101110111000…
…0011100010001
311001101102102222
43131300130101
5104340212431
65433550425
71304054516
oct335603421
9131342388
1058132241
112a8a5682
1217575415
13c074a9b
147a1330d
15518457b
hex3770711

58132241 has 2 divisors, whose sum is σ = 58132242. Its totient is φ = 58132240.

The previous prime is 58132237. The next prime is 58132271. The reversal of 58132241 is 14223185.

58132241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49843600 + 8288641 = 7060^2 + 2879^2 .

It is a cyclic number.

It is not a de Polignac number, because 58132241 - 22 = 58132237 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 58132241.

It is not a weakly prime, because it can be changed into another prime (58132271) 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, 29066120 + 29066121.

It is an arithmetic number, because the mean of its divisors is an integer number (29066121).

Almost surely, 258132241 is an apocalyptic number.

It is an amenable number.

58132241 is a deficient number, since it is larger than the sum of its proper divisors (1).

58132241 is an equidigital number, since it uses as much as digits as its factorization.

58132241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 26.

The square root of 58132241 is about 7624.4502096873. The cubic root of 58132241 is about 387.3816296097.

The spelling of 58132241 in words is "fifty-eight million, one hundred thirty-two thousand, two hundred forty-one".