Search a number
-
+
10442241 = 322814129
BaseRepresentation
bin100111110101…
…011000000001
3201122112001200
4213311120001
510133122431
61011451413
7154520565
oct47653001
921575050
1010442241
115992457
1235b6b69
132217c54
14155b6a5
15db3ee6
hex9f5601

10442241 has 12 divisors (see below), whose sum is σ = 15140580. Its totient is φ = 6935040.

The previous prime is 10442239. The next prime is 10442261. The reversal of 10442241 is 14224401.

10442241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6426225 + 4016016 = 2535^2 + 2004^2 .

It is not a de Polignac number, because 10442241 - 21 = 10442239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (1261715).

Almost surely, 210442241 is an apocalyptic number.

It is an amenable number.

10442241 is a deficient number, since it is larger than the sum of its proper divisors (4698339).

10442241 is a wasteful number, since it uses less digits than its factorization.

10442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10442241 is about 3231.4456517169. The cubic root of 10442241 is about 218.5737000185.

Adding to 10442241 its reverse (14224401), we get a palindrome (24666642).

The spelling of 10442241 in words is "ten million, four hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 281 843 2529 4129 12387 37161 1160249 3480747 10442241