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247385093 is a prime number
BaseRepresentation
bin11101011111011…
…00110000000101
3122020111110112212
432233230300011
51001312310333
640314153205
76062511224
oct1657546005
9566443485
10247385093
1111770809a
126aa22805
133c338417
1424bd8cbb
1516ab9448
hexebecc05

247385093 has 2 divisors, whose sum is σ = 247385094. Its totient is φ = 247385092.

The previous prime is 247385041. The next prime is 247385107. The reversal of 247385093 is 390583742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227466724 + 19918369 = 15082^2 + 4463^2 .

It is a cyclic number.

It is not a de Polignac number, because 247385093 - 210 = 247384069 is a prime.

It is a super-2 number, since 2×2473850932 = 122398768477237298, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 247385093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (247385693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123692546 + 123692547.

It is an arithmetic number, because the mean of its divisors is an integer number (123692547).

Almost surely, 2247385093 is an apocalyptic number.

It is an amenable number.

247385093 is a deficient number, since it is larger than the sum of its proper divisors (1).

247385093 is an equidigital number, since it uses as much as digits as its factorization.

247385093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 247385093 is about 15728.4803143851. The cubic root of 247385093 is about 627.7564381001.

The spelling of 247385093 in words is "two hundred forty-seven million, three hundred eighty-five thousand, ninety-three".