Search a number
-
+
39681041 is a prime number
BaseRepresentation
bin1001011101011…
…1110000010001
32202200000011012
42113113300101
540124243131
63534300305
7661166111
oct227276021
982600135
1039681041
1120442a54
1211357695
1382b460a
1453ad041
15373c52b
hex25d7c11

39681041 has 2 divisors, whose sum is σ = 39681042. Its totient is φ = 39681040.

The previous prime is 39681017. The next prime is 39681053. The reversal of 39681041 is 14018693.

It is a happy number.

39681041 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., 30250000 + 9431041 = 5500^2 + 3071^2 .

It is a cyclic number.

It is not a de Polignac number, because 39681041 - 214 = 39664657 is a prime.

It is a Chen prime.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39680989 and 39681007.

It is not a weakly prime, because it can be changed into another prime (39681011) 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, 19840520 + 19840521.

It is an arithmetic number, because the mean of its divisors is an integer number (19840521).

Almost surely, 239681041 is an apocalyptic number.

It is an amenable number.

39681041 is a deficient number, since it is larger than the sum of its proper divisors (1).

39681041 is an equidigital number, since it uses as much as digits as its factorization.

39681041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 39681041 is about 6299.2889281251. The cubic root of 39681041 is about 341.0837420427.

The spelling of 39681041 in words is "thirty-nine million, six hundred eighty-one thousand, forty-one".