Search a number
-
+
248240249 is a prime number
BaseRepresentation
bin11101100101111…
…01100001111001
3122022002220121022
432302331201321
51002022141444
640344352225
76103002335
oct1662754171
9568086538
10248240249
11118141634
126b175675
133c57772a
1424d7c7c5
1516bd79ee
hexecbd879

248240249 has 2 divisors, whose sum is σ = 248240250. Its totient is φ = 248240248.

The previous prime is 248240231. The next prime is 248240257. The reversal of 248240249 is 942042842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170041600 + 78198649 = 13040^2 + 8843^2 .

It is a cyclic number.

It is not a de Polignac number, because 248240249 - 220 = 247191673 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (248240269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124120124 + 124120125.

It is an arithmetic number, because the mean of its divisors is an integer number (124120125).

Almost surely, 2248240249 is an apocalyptic number.

It is an amenable number.

248240249 is a deficient number, since it is larger than the sum of its proper divisors (1).

248240249 is an equidigital number, since it uses as much as digits as its factorization.

248240249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 248240249 is about 15755.6418149182. The cubic root of 248240249 is about 628.4789449898.

The spelling of 248240249 in words is "two hundred forty-eight million, two hundred forty thousand, two hundred forty-nine".