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58793309 is a prime number
BaseRepresentation
bin1110000001000…
…1110101011101
311002122000020222
43200101311131
5110022341214
65500051125
71312510031
oct340216535
9132560228
1058793309
1130207313
1217833aa5
13c246953
147b461c1
15526538e
hex3811d5d

58793309 has 2 divisors, whose sum is σ = 58793310. Its totient is φ = 58793308.

The previous prime is 58793261. The next prime is 58793321. The reversal of 58793309 is 90339785.

58793309 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., 56400100 + 2393209 = 7510^2 + 1547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58793309 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58793309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58793369) 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, 29396654 + 29396655.

It is an arithmetic number, because the mean of its divisors is an integer number (29396655).

Almost surely, 258793309 is an apocalyptic number.

It is an amenable number.

58793309 is a deficient number, since it is larger than the sum of its proper divisors (1).

58793309 is an equidigital number, since it uses as much as digits as its factorization.

58793309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 58793309 is about 7667.6795055610. The cubic root of 58793309 is about 388.8445066841.

The spelling of 58793309 in words is "fifty-eight million, seven hundred ninety-three thousand, three hundred nine".