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40000729 is a prime number
BaseRepresentation
bin1001100010010…
…1110011011001
32210021020200111
42120211303121
540220010404
63545204321
7664000126
oct230456331
983236614
1040000729
112064115a
12114906a1
138396c92
14545374d
1537a2104
hex2625cd9

40000729 has 2 divisors, whose sum is σ = 40000730. Its totient is φ = 40000728.

The previous prime is 40000721. The next prime is 40000733. The reversal of 40000729 is 92700004.

40000729 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., 25522704 + 14478025 = 5052^2 + 3805^2 .

It is a cyclic number.

It is not a de Polignac number, because 40000729 - 23 = 40000721 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40000721) 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, 20000364 + 20000365.

It is an arithmetic number, because the mean of its divisors is an integer number (20000365).

Almost surely, 240000729 is an apocalyptic number.

It is an amenable number.

40000729 is a deficient number, since it is larger than the sum of its proper divisors (1).

40000729 is an equidigital number, since it uses as much as digits as its factorization.

40000729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 40000729 is about 6324.6129525845. The cubic root of 40000729 is about 341.9972669435.

It can be divided in two parts, 40000 and 729, that multiplied together give a square (29160000 = 54002).

The spelling of 40000729 in words is "forty million, seven hundred twenty-nine", and thus it is an aban number.