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849002849 is a prime number
BaseRepresentation
bin110010100110101…
…100000101100001
32012011112210221222
4302212230011201
53214321042344
6220125024425
730016255652
oct6246540541
92164483858
10849002849
113a6270452
121b83b5115
13106b7c466
1480a83529
154e8065ee
hex329ac161

849002849 has 2 divisors, whose sum is σ = 849002850. Its totient is φ = 849002848.

The previous prime is 849002789. The next prime is 849002893. The reversal of 849002849 is 948200948.

It is a happy number.

It is an a-pointer prime, because the next prime (849002893) can be obtained adding 849002849 to its sum of digits (44).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 518017600 + 330985249 = 22760^2 + 18193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-849002849 is a prime.

It is a super-2 number, since 2×8490028492 = 1441611675220233602, which contains 22 as substring.

It is a Chen prime.

849002849 is a modest number, since divided by 2849 gives 849 as remainder.

It is not a weakly prime, because it can be changed into another prime (849001849) 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, 424501424 + 424501425.

It is an arithmetic number, because the mean of its divisors is an integer number (424501425).

Almost surely, 2849002849 is an apocalyptic number.

It is an amenable number.

849002849 is a deficient number, since it is larger than the sum of its proper divisors (1).

849002849 is an equidigital number, since it uses as much as digits as its factorization.

849002849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 849002849 is about 29137.6534573394. The cubic root of 849002849 is about 946.8976728428.

The spelling of 849002849 in words is "eight hundred forty-nine million, two thousand, eight hundred forty-nine".