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248253281 is a prime number
BaseRepresentation
bin11101100110000…
…00101101100001
3122022010120110222
432303000231201
51002023101111
640344532425
76103055333
oct1663005541
9568116428
10248253281
11118150401
126b181115
133c580643
1424d83453
1516bdb7db
hexecc0b61

248253281 has 2 divisors, whose sum is σ = 248253282. Its totient is φ = 248253280.

The previous prime is 248253241. The next prime is 248253287. The reversal of 248253281 is 182352842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227859025 + 20394256 = 15095^2 + 4516^2 .

It is a cyclic number.

It is not a de Polignac number, because 248253281 - 226 = 181144417 is a prime.

It is a super-2 number, since 2×2482532812 = 123259383054529922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248253287) 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, 124126640 + 124126641.

It is an arithmetic number, because the mean of its divisors is an integer number (124126641).

Almost surely, 2248253281 is an apocalyptic number.

It is an amenable number.

248253281 is a deficient number, since it is larger than the sum of its proper divisors (1).

248253281 is an equidigital number, since it uses as much as digits as its factorization.

248253281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30720, while the sum is 35.

The square root of 248253281 is about 15756.0553756326. The cubic root of 248253281 is about 628.4899426615.

The spelling of 248253281 in words is "two hundred forty-eight million, two hundred fifty-three thousand, two hundred eighty-one".