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47115281 is a prime number
BaseRepresentation
bin1011001110111…
…0110000010001
310021122201000102
42303232300101
544030142111
64401502145
71111321223
oct263566021
9107581012
1047115281
1124660454
1213941955
1399b8385
146386413
15420a13b
hex2ceec11

47115281 has 2 divisors, whose sum is σ = 47115282. Its totient is φ = 47115280.

The previous prime is 47115253. The next prime is 47115283. The reversal of 47115281 is 18251174.

47115281 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., 36192256 + 10923025 = 6016^2 + 3305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47115281 is a prime.

It is a super-2 number, since 2×471152812 = 4439699407417922, which contains 22 as substring.

Together with 47115283, 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 (47115283) 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, 23557640 + 23557641.

It is an arithmetic number, because the mean of its divisors is an integer number (23557641).

Almost surely, 247115281 is an apocalyptic number.

It is an amenable number.

47115281 is a deficient number, since it is larger than the sum of its proper divisors (1).

47115281 is an equidigital number, since it uses as much as digits as its factorization.

47115281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 29.

The square root of 47115281 is about 6864.0571821627. The cubic root of 47115281 is about 361.1774231901.

The spelling of 47115281 in words is "forty-seven million, one hundred fifteen thousand, two hundred eighty-one".