Search a number
-
+
40805033 is a prime number
BaseRepresentation
bin1001101110101…
…0001010101001
32211210002222112
42123222022221
540421230113
64014332105
71003560053
oct233521251
984702875
1040805033
1121040475
12117ba035
1385b90b9
1455c28d3
1538b05a8
hex26ea2a9

40805033 has 2 divisors, whose sum is σ = 40805034. Its totient is φ = 40805032.

The previous prime is 40804997. The next prime is 40805047. The reversal of 40805033 is 33050804.

40805033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35366809 + 5438224 = 5947^2 + 2332^2 .

It is a cyclic number.

It is not a de Polignac number, because 40805033 - 222 = 36610729 is a prime.

It is not a weakly prime, because it can be changed into another prime (40805053) 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, 20402516 + 20402517.

It is an arithmetic number, because the mean of its divisors is an integer number (20402517).

Almost surely, 240805033 is an apocalyptic number.

It is an amenable number.

40805033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40805033 is an equidigital number, since it uses as much as digits as its factorization.

40805033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 40805033 is about 6387.8817302765. The cubic root of 40805033 is about 344.2742792920.

Adding to 40805033 its reverse (33050804), we get a palindrome (73855837).

The spelling of 40805033 in words is "forty million, eight hundred five thousand, thirty-three".