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58801693 is a prime number
BaseRepresentation
bin1110000001001…
…1111000011101
311002122102202111
43200103320131
5110023123233
65500154021
71312543336
oct340237035
9132572674
1058801693
1130212645
1217838911
13c24a702
147b4928d
155267acd
hex3813e1d

58801693 has 2 divisors, whose sum is σ = 58801694. Its totient is φ = 58801692.

The previous prime is 58801649. The next prime is 58801711. The reversal of 58801693 is 39610885.

It is a happy number.

58801693 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., 43731769 + 15069924 = 6613^2 + 3882^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58801693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58801643) 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, 29400846 + 29400847.

It is an arithmetic number, because the mean of its divisors is an integer number (29400847).

Almost surely, 258801693 is an apocalyptic number.

It is an amenable number.

58801693 is a deficient number, since it is larger than the sum of its proper divisors (1).

58801693 is an equidigital number, since it uses as much as digits as its factorization.

58801693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 58801693 is about 7668.2261964551. The cubic root of 58801693 is about 388.8629890446.

The spelling of 58801693 in words is "fifty-eight million, eight hundred one thousand, six hundred ninety-three".