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247364441 is a prime number
BaseRepresentation
bin11101011111001…
…11101101011001
3122020110102012222
432233213231121
51001311130231
640313513425
76062364062
oct1657475531
9566412188
10247364441
111176a3625
126aa12875
133c32bbbc
1424bd1569
1516ab327b
hexebe7b59

247364441 has 2 divisors, whose sum is σ = 247364442. Its totient is φ = 247364440.

The previous prime is 247364417. The next prime is 247364443. The reversal of 247364441 is 144463742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206353225 + 41011216 = 14365^2 + 6404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-247364441 is a prime.

It is a super-2 number, since 2×2473644412 = 122378333342484962, which contains 22 as substring.

Together with 247364443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (247364443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123682220 + 123682221.

It is an arithmetic number, because the mean of its divisors is an integer number (123682221).

Almost surely, 2247364441 is an apocalyptic number.

It is an amenable number.

247364441 is a deficient number, since it is larger than the sum of its proper divisors (1).

247364441 is an equidigital number, since it uses as much as digits as its factorization.

247364441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64512, while the sum is 35.

The square root of 247364441 is about 15727.8237846181. The cubic root of 247364441 is about 627.7389689975.

The spelling of 247364441 in words is "two hundred forty-seven million, three hundred sixty-four thousand, four hundred forty-one".