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58957949 is a prime number
BaseRepresentation
bin1110000011101…
…0000001111101
311002221101002202
43200322001331
5110043123244
65503401245
71314064031
oct340720175
9132841082
1058957949
1130309a86
12178b3225
13c2a387b
147b8a1c1
15529904e
hex383a07d

58957949 has 2 divisors, whose sum is σ = 58957950. Its totient is φ = 58957948.

The previous prime is 58957907. The next prime is 58957967. The reversal of 58957949 is 94975985.

58957949 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., 55279225 + 3678724 = 7435^2 + 1918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58957949 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58957894 and 58957903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58987949) 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, 29478974 + 29478975.

It is an arithmetic number, because the mean of its divisors is an integer number (29478975).

Almost surely, 258957949 is an apocalyptic number.

It is an amenable number.

58957949 is a deficient number, since it is larger than the sum of its proper divisors (1).

58957949 is an equidigital number, since it uses as much as digits as its factorization.

58957949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4082400, while the sum is 56.

The square root of 58957949 is about 7678.4079730111. The cubic root of 58957949 is about 389.2071312484.

The spelling of 58957949 in words is "fifty-eight million, nine hundred fifty-seven thousand, nine hundred forty-nine".