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58953049 is a prime number
BaseRepresentation
bin1110000011100…
…0110101011001
311002221010101021
43200320311121
5110042444144
65503322441
71314043531
oct340706531
9132833337
1058953049
1130306331
12178b0421
13c2a157c
147b884c1
155297884
hex3838d59

58953049 has 2 divisors, whose sum is σ = 58953050. Its totient is φ = 58953048.

The previous prime is 58953017. The next prime is 58953053. The reversal of 58953049 is 94035985.

It is a happy number.

58953049 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., 38837824 + 20115225 = 6232^2 + 4485^2 .

It is a cyclic number.

It is not a de Polignac number, because 58953049 - 25 = 58953017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58952996 and 58953014.

It is not a weakly prime, because it can be changed into another prime (58953149) 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, 29476524 + 29476525.

It is an arithmetic number, because the mean of its divisors is an integer number (29476525).

Almost surely, 258953049 is an apocalyptic number.

It is an amenable number.

58953049 is a deficient number, since it is larger than the sum of its proper divisors (1).

58953049 is an equidigital number, since it uses as much as digits as its factorization.

58953049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 58953049 is about 7678.0888898215. The cubic root of 58953049 is about 389.1963486041.

The spelling of 58953049 in words is "fifty-eight million, nine hundred fifty-three thousand, forty-nine".