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58400093 is a prime number
BaseRepresentation
bin1101111011000…
…1110101011101
311001220000212102
43132301311131
5104422300333
65443414445
71306251443
oct336616535
9131800772
1058400093
112aa68944
1217684425
13c13998b
147a82b93
1551d8ae8
hex37b1d5d

58400093 has 2 divisors, whose sum is σ = 58400094. Its totient is φ = 58400092.

The previous prime is 58400087. The next prime is 58400099. The reversal of 58400093 is 39000485.

It is a balanced prime because it is at equal distance from previous prime (58400087) and next prime (58400099).

It can be written as a sum of positive squares in only one way, i.e., 53260804 + 5139289 = 7298^2 + 2267^2 .

It is a cyclic number.

It is not a de Polignac number, because 58400093 - 214 = 58383709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58400099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29200046 + 29200047.

It is an arithmetic number, because the mean of its divisors is an integer number (29200047).

Almost surely, 258400093 is an apocalyptic number.

It is an amenable number.

58400093 is a deficient number, since it is larger than the sum of its proper divisors (1).

58400093 is an equidigital number, since it uses as much as digits as its factorization.

58400093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 58400093 is about 7641.9953546178. The cubic root of 58400093 is about 387.9756888618.

The spelling of 58400093 in words is "fifty-eight million, four hundred thousand, ninety-three".