Search a number
-
+
247806149 is a prime number
BaseRepresentation
bin11101100010100…
…11100011000101
3122021021212010112
432301103203011
51001414244044
640331202405
76066213623
oct1661234305
9567255115
10247806149
11117975478
126aba6405
133c454c76
1424ca8513
1516b4e09e
hexec538c5

247806149 has 2 divisors, whose sum is σ = 247806150. Its totient is φ = 247806148.

The previous prime is 247806121. The next prime is 247806179. The reversal of 247806149 is 941608742.

247806149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151413025 + 96393124 = 12305^2 + 9818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-247806149 is a prime.

It is a super-2 number, since 2×2478061492 = 122815774964420402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (247806109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123903074 + 123903075.

It is an arithmetic number, because the mean of its divisors is an integer number (123903075).

Almost surely, 2247806149 is an apocalyptic number.

It is an amenable number.

247806149 is a deficient number, since it is larger than the sum of its proper divisors (1).

247806149 is an equidigital number, since it uses as much as digits as its factorization.

247806149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 247806149 is about 15741.8597694173. The cubic root of 247806149 is about 628.1123889418.

The spelling of 247806149 in words is "two hundred forty-seven million, eight hundred six thousand, one hundred forty-nine".