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248249641 is a prime number
BaseRepresentation
bin11101100101111…
…11110100101001
3122022010101111011
432302333310221
51002022442031
640344503521
76103041613
oct1662776451
9568111434
10248249641
111181486a2
126b17aba1
133c57baa3
1424d81db3
1516bda6b1
hexecbfd29

248249641 has 2 divisors, whose sum is σ = 248249642. Its totient is φ = 248249640.

The previous prime is 248249627. The next prime is 248249681. The reversal of 248249641 is 146942842.

It is an a-pointer prime, because the next prime (248249681) can be obtained adding 248249641 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179426025 + 68823616 = 13395^2 + 8296^2 .

It is a cyclic number.

It is not a de Polignac number, because 248249641 - 27 = 248249513 is a prime.

It is equal to p13588753 and since 248249641 and 13588753 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 248249594 and 248249603.

It is not a weakly prime, because it can be changed into another prime (248249681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124124820 + 124124821.

It is an arithmetic number, because the mean of its divisors is an integer number (124124821).

Almost surely, 2248249641 is an apocalyptic number.

It is an amenable number.

248249641 is a deficient number, since it is larger than the sum of its proper divisors (1).

248249641 is an equidigital number, since it uses as much as digits as its factorization.

248249641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 110592, while the sum is 40.

The square root of 248249641 is about 15755.9398640640. The cubic root of 248249641 is about 628.4868709135.

The spelling of 248249641 in words is "two hundred forty-eight million, two hundred forty-nine thousand, six hundred forty-one".