Search a number
-
+
947815241 is a prime number
BaseRepresentation
bin111000011111101…
…000001101001001
32110001111000002012
4320133220031021
53420120041431
6234014545305
732326203512
oct7037501511
92401430065
10947815241
1144702068a
12225508235
13121498529
148dc45a09
155832422b
hex387e8349

947815241 has 2 divisors, whose sum is σ = 947815242. Its totient is φ = 947815240.

The previous prime is 947815223. The next prime is 947815243. The reversal of 947815241 is 142518749.

947815241 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., 692742400 + 255072841 = 26320^2 + 15971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-947815241 is a prime.

Together with 947815243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (947815243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 473907620 + 473907621.

It is an arithmetic number, because the mean of its divisors is an integer number (473907621).

Almost surely, 2947815241 is an apocalyptic number.

It is an amenable number.

947815241 is a deficient number, since it is larger than the sum of its proper divisors (1).

947815241 is an equidigital number, since it uses as much as digits as its factorization.

947815241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 41.

The square root of 947815241 is about 30786.6081438017. The cubic root of 947815241 is about 982.2934073886.

The spelling of 947815241 in words is "nine hundred forty-seven million, eight hundred fifteen thousand, two hundred forty-one".