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248582881 is a prime number
BaseRepresentation
bin11101101000100…
…01001011100001
3122022202022121101
432310101023201
51002114123011
640355554401
76105630301
oct1664211341
9568668541
10248582881
11118355aa8
126b2bba01
133c667681
142502b601
1516c542c1
hexed112e1

248582881 has 2 divisors, whose sum is σ = 248582882. Its totient is φ = 248582880.

The previous prime is 248582837. The next prime is 248582897. The reversal of 248582881 is 188285842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156250000 + 92332881 = 12500^2 + 9609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248582881 is a prime.

It is a super-2 number, since 2×2485828812 = 123586897452520322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248582821) 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, 124291440 + 124291441.

It is an arithmetic number, because the mean of its divisors is an integer number (124291441).

Almost surely, 2248582881 is an apocalyptic number.

It is an amenable number.

248582881 is a deficient number, since it is larger than the sum of its proper divisors (1).

248582881 is an equidigital number, since it uses as much as digits as its factorization.

248582881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 327680, while the sum is 46.

The square root of 248582881 is about 15766.5113769661. The cubic root of 248582881 is about 628.7679633932.

The spelling of 248582881 in words is "two hundred forty-eight million, five hundred eighty-two thousand, eight hundred eighty-one".