Search a number
-
+
9042641 is a prime number
BaseRepresentation
bin100010011111…
…101011010001
3122000102011122
4202133223101
54303331031
6521452025
7136601246
oct42375321
918012148
109042641
115116963
123041015
131b47b9a
1412b55cd
15bd947b
hex89fad1

9042641 has 2 divisors, whose sum is σ = 9042642. Its totient is φ = 9042640.

The previous prime is 9042637. The next prime is 9042647. The reversal of 9042641 is 1462409.

9042641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8179600 + 863041 = 2860^2 + 929^2 .

It is a cyclic number.

It is not a de Polignac number, because 9042641 - 22 = 9042637 is a prime.

It is a Chen prime.

It is equal to p605087 and since 9042641 and 605087 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9042641.

It is not a weakly prime, because it can be changed into another prime (9042647) 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, 4521320 + 4521321.

It is an arithmetic number, because the mean of its divisors is an integer number (4521321).

Almost surely, 29042641 is an apocalyptic number.

It is an amenable number.

9042641 is a deficient number, since it is larger than the sum of its proper divisors (1).

9042641 is an equidigital number, since it uses as much as digits as its factorization.

9042641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 9042641 is about 3007.0984353692. The cubic root of 9042641 is about 208.3363717246.

The spelling of 9042641 in words is "nine million, forty-two thousand, six hundred forty-one".