Search a number
-
+
1849000033 is a prime number
BaseRepresentation
bin110111000110101…
…1000000001100001
311202212012221012201
41232031120001201
512241321000113
6503250253201
763551145436
oct15615300141
94685187181
101849000033
11869792101
12437287201
132360b827a
141377cdb8d
15ac4d6cdd
hex6e358061

1849000033 has 2 divisors, whose sum is σ = 1849000034. Its totient is φ = 1849000032.

The previous prime is 1849000003. The next prime is 1849000051. The reversal of 1849000033 is 3300009481.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1773083664 + 75916369 = 42108^2 + 8713^2 .

It is a cyclic number.

It is not a de Polignac number, because 1849000033 - 229 = 1312129121 is a prime.

It is a super-2 number, since 2×18490000332 = 6837602244068002178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1848999965 and 1849000010.

It is not a weakly prime, because it can be changed into another prime (1849000003) 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, 924500016 + 924500017.

It is an arithmetic number, because the mean of its divisors is an integer number (924500017).

Almost surely, 21849000033 is an apocalyptic number.

It is an amenable number.

1849000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1849000033 is an equidigital number, since it uses as much as digits as its factorization.

1849000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1849000033 is about 43000.0003837209. Note that the first 3 decimals coincide. The cubic root of 1849000033 is about 1227.3798042540.

The spelling of 1849000033 in words is "one billion, eight hundred forty-nine million, thirty-three", and thus it is an aban number.