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248813681 is a prime number
BaseRepresentation
bin11101101010010…
…01100001110001
3122100012001012112
432311021201301
51002144014211
640404535105
76110611214
oct1665114161
9570161175
10248813681
111184a3446
126b3b1495
133c71873c
142508b77b
1516c9c88b
hexed49871

248813681 has 2 divisors, whose sum is σ = 248813682. Its totient is φ = 248813680.

The previous prime is 248813659. The next prime is 248813689. The reversal of 248813681 is 186318842.

248813681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199939600 + 48874081 = 14140^2 + 6991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248813681 is a prime.

It is a super-2 number, since 2×2488136812 = 123816495705539522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (248813689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124406840 + 124406841.

It is an arithmetic number, because the mean of its divisors is an integer number (124406841).

Almost surely, 2248813681 is an apocalyptic number.

It is an amenable number.

248813681 is a deficient number, since it is larger than the sum of its proper divisors (1).

248813681 is an equidigital number, since it uses as much as digits as its factorization.

248813681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 73728, while the sum is 41.

The square root of 248813681 is about 15773.8289898173. The cubic root of 248813681 is about 628.9624991228.

The spelling of 248813681 in words is "two hundred forty-eight million, eight hundred thirteen thousand, six hundred eighty-one".