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4029000893 is a prime number
BaseRepresentation
bin1111000000100101…
…1010110010111101
3101101210021110012022
43300021122302331
531222411012033
61503443245525
7201561641201
oct36011326275
911353243168
104029000893
1117882a2005
129453798a5
134c29369c8
142a3142b01
15188aa3098
hexf025acbd

4029000893 has 2 divisors, whose sum is σ = 4029000894. Its totient is φ = 4029000892.

The previous prime is 4029000887. The next prime is 4029000907. The reversal of 4029000893 is 3980009204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2875855129 + 1153145764 = 53627^2 + 33958^2 .

It is a cyclic number.

It is not a de Polignac number, because 4029000893 - 210 = 4028999869 is a prime.

It is a super-3 number, since 3×40290008933 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4029000803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2014500446 + 2014500447.

It is an arithmetic number, because the mean of its divisors is an integer number (2014500447).

Almost surely, 24029000893 is an apocalyptic number.

4029000893 is the 33929-th centered heptagonal number.

It is an amenable number.

4029000893 is a deficient number, since it is larger than the sum of its proper divisors (1).

4029000893 is an equidigital number, since it uses as much as digits as its factorization.

4029000893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 4029000893 is about 63474.4113245645. The cubic root of 4029000893 is about 1591.2281550370.

The spelling of 4029000893 in words is "four billion, twenty-nine million, eight hundred ninety-three", and thus it is an aban number.