Search a number
-
+
58402961 is a prime number
BaseRepresentation
bin1101111011001…
…0100010010001
311001220011210122
43132302202101
5104422343321
65443440025
71306263011
oct336624221
9131804718
1058402961
112aa70011
1217686015
13c13b086
147a83c41
1551d98ab
hex37b2891

58402961 has 2 divisors, whose sum is σ = 58402962. Its totient is φ = 58402960.

The previous prime is 58402951. The next prime is 58402969. The reversal of 58402961 is 16920485.

58402961 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., 57988225 + 414736 = 7615^2 + 644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58402961 is a prime.

It is not a weakly prime, because it can be changed into another prime (58402969) 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, 29201480 + 29201481.

It is an arithmetic number, because the mean of its divisors is an integer number (29201481).

Almost surely, 258402961 is an apocalyptic number.

It is an amenable number.

58402961 is a deficient number, since it is larger than the sum of its proper divisors (1).

58402961 is an equidigital number, since it uses as much as digits as its factorization.

58402961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 58402961 is about 7642.1829996409. The cubic root of 58402961 is about 387.9820398566.

The spelling of 58402961 in words is "fifty-eight million, four hundred two thousand, nine hundred sixty-one".