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47632721 is a prime number
BaseRepresentation
bin1011010110110…
…1000101010001
310022121222210212
42311231011101
544143221341
64420533505
71115604623
oct265550521
9108558725
1047632721
1124984194
1213b51295
139b39a56
14647cc13
1542ad5eb
hex2d6d151

47632721 has 2 divisors, whose sum is σ = 47632722. Its totient is φ = 47632720.

The previous prime is 47632699. The next prime is 47632733. The reversal of 47632721 is 12723674.

47632721 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., 44742721 + 2890000 = 6689^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 47632721 - 218 = 47370577 is a prime.

It is a super-2 number, since 2×476327212 = 4537752219727682, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (47632751) 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, 23816360 + 23816361.

It is an arithmetic number, because the mean of its divisors is an integer number (23816361).

Almost surely, 247632721 is an apocalyptic number.

It is an amenable number.

47632721 is a deficient number, since it is larger than the sum of its proper divisors (1).

47632721 is an equidigital number, since it uses as much as digits as its factorization.

47632721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 32.

The square root of 47632721 is about 6901.6462528878. The cubic root of 47632721 is about 362.4948134018.

The spelling of 47632721 in words is "forty-seven million, six hundred thirty-two thousand, seven hundred twenty-one".