Search a number
-
+
819049249 is a prime number
BaseRepresentation
bin110000110100011…
…011001100100001
32010002012000100101
4300310123030201
53134134033444
6213135022401
726203542454
oct6064331441
92102160311
10819049249
11390371907
121aa36aa01
131008c2635
147aac749b
154bd8b3d4
hex30d1b321

819049249 has 2 divisors, whose sum is σ = 819049250. Its totient is φ = 819049248.

The previous prime is 819049243. The next prime is 819049267. The reversal of 819049249 is 942940918.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 728190225 + 90859024 = 26985^2 + 9532^2 .

It is a cyclic number.

It is not a de Polignac number, because 819049249 - 213 = 819041057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 819049199 and 819049208.

It is not a weakly prime, because it can be changed into another prime (819049243) 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, 409524624 + 409524625.

It is an arithmetic number, because the mean of its divisors is an integer number (409524625).

Almost surely, 2819049249 is an apocalyptic number.

It is an amenable number.

819049249 is a deficient number, since it is larger than the sum of its proper divisors (1).

819049249 is an equidigital number, since it uses as much as digits as its factorization.

819049249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 819049249 is about 28619.0364792388. The cubic root of 819049249 is about 935.6282770563.

The spelling of 819049249 in words is "eight hundred nineteen million, forty-nine thousand, two hundred forty-nine".