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827418149 is a prime number
BaseRepresentation
bin110001010100010…
…110011000100101
32010122221012022122
4301110112120211
53143304340044
6214034235325
726334636545
oct6124263045
92118835278
10827418149
11395068558
121b1125b45
1310256294c
147bc65325
154c990dee
hex31516625

827418149 has 2 divisors, whose sum is σ = 827418150. Its totient is φ = 827418148.

The previous prime is 827418131. The next prime is 827418157. The reversal of 827418149 is 941814728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 688012900 + 139405249 = 26230^2 + 11807^2 .

It is a cyclic number.

It is not a de Polignac number, because 827418149 - 216 = 827352613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827418199) 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, 413709074 + 413709075.

It is an arithmetic number, because the mean of its divisors is an integer number (413709075).

Almost surely, 2827418149 is an apocalyptic number.

It is an amenable number.

827418149 is a deficient number, since it is larger than the sum of its proper divisors (1).

827418149 is an equidigital number, since it uses as much as digits as its factorization.

827418149 is an odious number, because the sum of its binary digits is odd.

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

The square root of 827418149 is about 28764.8770030397. The cubic root of 827418149 is about 938.8041791706.

The spelling of 827418149 in words is "eight hundred twenty-seven million, four hundred eighteen thousand, one hundred forty-nine".