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249983009 is a prime number
BaseRepresentation
bin11101110011001…
…11000000100001
3122102101110012222
432321213000201
51002443424014
640450000425
76123551303
oct1671470041
9572343188
10249983009
11119121a31
126b876115
133ca37a53
14252b3973
1516e2e08e
hexee67021

249983009 has 2 divisors, whose sum is σ = 249983010. Its totient is φ = 249983008.

The previous prime is 249983003. The next prime is 249983023. The reversal of 249983009 is 900389942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212430625 + 37552384 = 14575^2 + 6128^2 .

It is a cyclic number.

It is not a de Polignac number, because 249983009 - 212 = 249978913 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (249983003) 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, 124991504 + 124991505.

It is an arithmetic number, because the mean of its divisors is an integer number (124991505).

Almost surely, 2249983009 is an apocalyptic number.

It is an amenable number.

249983009 is a deficient number, since it is larger than the sum of its proper divisors (1).

249983009 is an equidigital number, since it uses as much as digits as its factorization.

249983009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 249983009 is about 15810.8509891150. The cubic root of 249983009 is about 629.9462530784.

The spelling of 249983009 in words is "two hundred forty-nine million, nine hundred eighty-three thousand, nine".