Search a number
-
+
58254017 is a prime number
BaseRepresentation
bin1101111000111…
…0001011000001
311001121121111012
43132032023001
5104403112032
65440330305
71305102533
oct336161301
9131547435
1058254017
112a979118
1217613995
13c0b8343
147a45853
1551aa6b2
hex378e2c1

58254017 has 2 divisors, whose sum is σ = 58254018. Its totient is φ = 58254016.

The previous prime is 58253999. The next prime is 58254023. The reversal of 58254017 is 71045285.

58254017 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., 34527376 + 23726641 = 5876^2 + 4871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58254017 is a prime.

It is equal to p3464564 and since 58254017 and 3464564 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (58254037) 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, 29127008 + 29127009.

It is an arithmetic number, because the mean of its divisors is an integer number (29127009).

Almost surely, 258254017 is an apocalyptic number.

It is an amenable number.

58254017 is a deficient number, since it is larger than the sum of its proper divisors (1).

58254017 is an equidigital number, since it uses as much as digits as its factorization.

58254017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 58254017 is about 7632.4319191199. The cubic root of 58254017 is about 387.6519379203.

The spelling of 58254017 in words is "fifty-eight million, two hundred fifty-four thousand, seventeen".