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47000729 is a prime number
BaseRepresentation
bin1011001101001…
…0110010011001
310021102212212202
42303102302121
544013010404
64355215545
71110333236
oct263226231
9107385782
1047000729
1124592386
12138a75b5
1399781a9
14635678d
1541d621e
hex2cd2c99

47000729 has 2 divisors, whose sum is σ = 47000730. Its totient is φ = 47000728.

The previous prime is 47000717. The next prime is 47000731. The reversal of 47000729 is 92700074.

47000729 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., 46895104 + 105625 = 6848^2 + 325^2 .

It is a cyclic number.

It is not a de Polignac number, because 47000729 - 216 = 46935193 is a prime.

Together with 47000731, 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 (47000749) 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, 23500364 + 23500365.

It is an arithmetic number, because the mean of its divisors is an integer number (23500365).

Almost surely, 247000729 is an apocalyptic number.

It is an amenable number.

47000729 is a deficient number, since it is larger than the sum of its proper divisors (1).

47000729 is an equidigital number, since it uses as much as digits as its factorization.

47000729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 47000729 is about 6855.7077679843. The cubic root of 47000729 is about 360.8844738441.

The spelling of 47000729 in words is "forty-seven million, seven hundred twenty-nine", and thus it is an aban number.