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47920393 is a prime number
BaseRepresentation
bin1011011011001…
…1010100001001
310100011121102101
42312303110021
544231423033
64431033401
71121213413
oct266632411
9110147371
1047920393
1125060334
121406b861
139c0a981
1465159b3
15431897d
hex2db3509

47920393 has 2 divisors, whose sum is σ = 47920394. Its totient is φ = 47920392.

The previous prime is 47920391. The next prime is 47920409. The reversal of 47920393 is 39302974.

47920393 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., 47293129 + 627264 = 6877^2 + 792^2 .

It is a cyclic number.

It is not a de Polignac number, because 47920393 - 21 = 47920391 is a prime.

Together with 47920391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (47920391) 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, 23960196 + 23960197.

It is an arithmetic number, because the mean of its divisors is an integer number (23960197).

Almost surely, 247920393 is an apocalyptic number.

It is an amenable number.

47920393 is a deficient number, since it is larger than the sum of its proper divisors (1).

47920393 is an equidigital number, since it uses as much as digits as its factorization.

47920393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 47920393 is about 6922.4557058893. The cubic root of 47920393 is about 363.2230969523.

The spelling of 47920393 in words is "forty-seven million, nine hundred twenty thousand, three hundred ninety-three".