Search a number
-
+
247981841 is a prime number
BaseRepresentation
bin11101100011111…
…10011100010001
3122021121210010122
432301332130101
51001440404331
640335040025
76100545062
oct1661763421
9567553118
10247981841
11117a85478
126b070015
133c4b6c23
1424d12569
1516b8617b
hexec7e711

247981841 has 2 divisors, whose sum is σ = 247981842. Its totient is φ = 247981840.

The previous prime is 247981801. The next prime is 247981879. The reversal of 247981841 is 148189742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179158225 + 68823616 = 13385^2 + 8296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-247981841 is a prime.

It is a super-2 number, since 2×2479818412 = 122989986931498562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 247981792 and 247981801.

It is not a weakly prime, because it can be changed into another prime (247981801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123990920 + 123990921.

It is an arithmetic number, because the mean of its divisors is an integer number (123990921).

Almost surely, 2247981841 is an apocalyptic number.

It is an amenable number.

247981841 is a deficient number, since it is larger than the sum of its proper divisors (1).

247981841 is an equidigital number, since it uses as much as digits as its factorization.

247981841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 129024, while the sum is 44.

The square root of 247981841 is about 15747.4391886427. The cubic root of 247981841 is about 628.2607956063.

The spelling of 247981841 in words is "two hundred forty-seven million, nine hundred eighty-one thousand, eight hundred forty-one".