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248379337 is a prime number
BaseRepresentation
bin11101100110111…
…11011111001001
3122022100222101201
432303133133021
51002041114322
640351344201
76104122003
oct1663373711
9568328351
10248379337
11118227088
126b222061
133c5c5b2b
1424db7373
1516c13d27
hexecdf7c9

248379337 has 2 divisors, whose sum is σ = 248379338. Its totient is φ = 248379336.

The previous prime is 248379289. The next prime is 248379377. The reversal of 248379337 is 733973842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230705721 + 17673616 = 15189^2 + 4204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248379337 is a prime.

It is not a weakly prime, because it can be changed into another prime (248379377) 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, 124189668 + 124189669.

It is an arithmetic number, because the mean of its divisors is an integer number (124189669).

Almost surely, 2248379337 is an apocalyptic number.

It is an amenable number.

248379337 is a deficient number, since it is larger than the sum of its proper divisors (1).

248379337 is an equidigital number, since it uses as much as digits as its factorization.

248379337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 46.

The square root of 248379337 is about 15760.0551077717. The cubic root of 248379337 is about 628.5963011385.

The spelling of 248379337 in words is "two hundred forty-eight million, three hundred seventy-nine thousand, three hundred thirty-seven".