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40006429 is a prime number
BaseRepresentation
bin1001100010011…
…1001100011101
32210021112111121
42120213030131
540220201204
63545250541
7664022551
oct230471435
983245447
1040006429
1120645471
1211493a51
138399758
145455861
1537a3b54
hex262731d

40006429 has 2 divisors, whose sum is σ = 40006430. Its totient is φ = 40006428.

The previous prime is 40006427. The next prime is 40006433. The reversal of 40006429 is 92460004.

40006429 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., 22071204 + 17935225 = 4698^2 + 4235^2 .

It is a cyclic number.

It is not a de Polignac number, because 40006429 - 21 = 40006427 is a prime.

It is a super-2 number, since 2×400064292 = 3201028722664082, which contains 22 as substring.

Together with 40006427, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40006427) 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, 20003214 + 20003215.

It is an arithmetic number, because the mean of its divisors is an integer number (20003215).

Almost surely, 240006429 is an apocalyptic number.

It is an amenable number.

40006429 is a deficient number, since it is larger than the sum of its proper divisors (1).

40006429 is an equidigital number, since it uses as much as digits as its factorization.

40006429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 40006429 is about 6325.0635569929. The cubic root of 40006429 is about 342.0135107461.

The spelling of 40006429 in words is "forty million, six thousand, four hundred twenty-nine".