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47967233 is a prime number
BaseRepresentation
bin1011011011111…
…0110000000001
310100020222200012
42312332300001
544234422413
64432034305
71121500106
oct266766001
9110228605
1047967233
1125092546
1214092995
139c260a2
146528aad
1543277a8
hex2dbec01

47967233 has 2 divisors, whose sum is σ = 47967234. Its totient is φ = 47967232.

The previous prime is 47967221. The next prime is 47967287. The reversal of 47967233 is 33276974.

47967233 is digitally balanced in base 2, 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., 29235649 + 18731584 = 5407^2 + 4328^2 .

It is a cyclic number.

It is not a de Polignac number, because 47967233 - 216 = 47901697 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (47960233) 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, 23983616 + 23983617.

It is an arithmetic number, because the mean of its divisors is an integer number (23983617).

Almost surely, 247967233 is an apocalyptic number.

It is an amenable number.

47967233 is a deficient number, since it is larger than the sum of its proper divisors (1).

47967233 is an equidigital number, since it uses as much as digits as its factorization.

47967233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 190512, while the sum is 41.

The square root of 47967233 is about 6925.8380720314. The cubic root of 47967233 is about 363.3414030884.

The spelling of 47967233 in words is "forty-seven million, nine hundred sixty-seven thousand, two hundred thirty-three".