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58019893 is a prime number
BaseRepresentation
bin1101110101010…
…1000000110101
311001011201022221
43131111000311
5104323114033
65431322341
71303106131
oct335250065
9131151287
1058019893
112a829228
12175203b1
13c0358c9
1479c43c1
15516112d
hex3755035

58019893 has 2 divisors, whose sum is σ = 58019894. Its totient is φ = 58019892.

The previous prime is 58019831. The next prime is 58019903. The reversal of 58019893 is 39891085.

58019893 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., 53100369 + 4919524 = 7287^2 + 2218^2 .

It is a cyclic number.

It is not a de Polignac number, because 58019893 - 217 = 57888821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58019813) 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, 29009946 + 29009947.

It is an arithmetic number, because the mean of its divisors is an integer number (29009947).

Almost surely, 258019893 is an apocalyptic number.

58019893 is the 4072-nd centered heptagonal number.

It is an amenable number.

58019893 is a deficient number, since it is larger than the sum of its proper divisors (1).

58019893 is an equidigital number, since it uses as much as digits as its factorization.

58019893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 58019893 is about 7617.0790333303. The cubic root of 58019893 is about 387.1319138025.

The spelling of 58019893 in words is "fifty-eight million, nineteen thousand, eight hundred ninety-three".