Search a number
-
+
248328193 is a prime number
BaseRepresentation
bin11101100110100…
…11000000000001
3122022021101020111
432303103000001
51002033000233
640350311321
76103516621
oct1663230001
9568241214
10248328193
111181a1713
126b1b8541
133c5a8779
1424da2881
1516c03acd
hexecd3001

248328193 has 2 divisors, whose sum is σ = 248328194. Its totient is φ = 248328192.

The previous prime is 248328191. The next prime is 248328209. The reversal of 248328193 is 391823842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195664144 + 52664049 = 13988^2 + 7257^2 .

It is a cyclic number.

It is not a de Polignac number, because 248328193 - 21 = 248328191 is a prime.

Together with 248328191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (248328191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124164096 + 124164097.

It is an arithmetic number, because the mean of its divisors is an integer number (124164097).

Almost surely, 2248328193 is an apocalyptic number.

It is an amenable number.

248328193 is a deficient number, since it is larger than the sum of its proper divisors (1).

248328193 is an equidigital number, since it uses as much as digits as its factorization.

248328193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 40.

The square root of 248328193 is about 15758.4324410774. The cubic root of 248328193 is about 628.5531532442.

The spelling of 248328193 in words is "two hundred forty-eight million, three hundred twenty-eight thousand, one hundred ninety-three".