Search a number
-
+
248807569 is a prime number
BaseRepresentation
bin11101101010010…
…00000010010001
3122100011201211011
432311020002101
51002143320234
640404450521
76110554333
oct1665100221
9570151734
10248807569
1111849989a
126b3a9a41
133c715a1a
1425089453
1516c9ab64
hexed48091

248807569 has 2 divisors, whose sum is σ = 248807570. Its totient is φ = 248807568.

The previous prime is 248807561. The next prime is 248807591. The reversal of 248807569 is 965708842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177235969 + 71571600 = 13313^2 + 8460^2 .

It is a cyclic number.

It is not a de Polignac number, because 248807569 - 23 = 248807561 is a prime.

It is a super-2 number, since 2×2488075692 = 123810412783379522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248807561) 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, 124403784 + 124403785.

It is an arithmetic number, because the mean of its divisors is an integer number (124403785).

Almost surely, 2248807569 is an apocalyptic number.

It is an amenable number.

248807569 is a deficient number, since it is larger than the sum of its proper divisors (1).

248807569 is an equidigital number, since it uses as much as digits as its factorization.

248807569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 248807569 is about 15773.6352499987. The cubic root of 248807569 is about 628.9573490171.

The spelling of 248807569 in words is "two hundred forty-eight million, eight hundred seven thousand, five hundred sixty-nine".