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249950081 is a prime number
BaseRepresentation
bin11101110010111…
…10111110000001
3122102022210001102
432321132332001
51002441400311
640445144145
76123353303
oct1671367601
9572283042
10249950081
111190aa217
126b85b055
133ca25a74
14252a5973
1516e2443b
hexee5ef81

249950081 has 2 divisors, whose sum is σ = 249950082. Its totient is φ = 249950080.

The previous prime is 249950047. The next prime is 249950143. The reversal of 249950081 is 180059942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249924481 + 25600 = 15809^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 249950081 - 218 = 249687937 is a prime.

It is a super-2 number, since 2×2499500812 = 124950085983813122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (240950081) 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, 124975040 + 124975041.

It is an arithmetic number, because the mean of its divisors is an integer number (124975041).

Almost surely, 2249950081 is an apocalyptic number.

It is an amenable number.

249950081 is a deficient number, since it is larger than the sum of its proper divisors (1).

249950081 is an equidigital number, since it uses as much as digits as its factorization.

249950081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 249950081 is about 15809.8096446478. The cubic root of 249950081 is about 629.9185928238.

The spelling of 249950081 in words is "two hundred forty-nine million, nine hundred fifty thousand, eighty-one".