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40081829 is a prime number
BaseRepresentation
bin1001100011100…
…1100110100101
32210102100221012
42120321212211
540230104304
63551032005
7664455434
oct230714645
983370835
1040081829
1120697087
121150b605
1383c4b78
14547511b
1537bb16e
hex26399a5

40081829 has 2 divisors, whose sum is σ = 40081830. Its totient is φ = 40081828.

The previous prime is 40081813. The next prime is 40081831. The reversal of 40081829 is 92818004.

It is a happy number.

40081829 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., 33373729 + 6708100 = 5777^2 + 2590^2 .

It is a cyclic number.

It is not a de Polignac number, because 40081829 - 24 = 40081813 is a prime.

Together with 40081831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40081795 and 40081804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40081889) 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, 20040914 + 20040915.

It is an arithmetic number, because the mean of its divisors is an integer number (20040915).

Almost surely, 240081829 is an apocalyptic number.

It is an amenable number.

40081829 is a deficient number, since it is larger than the sum of its proper divisors (1).

40081829 is an equidigital number, since it uses as much as digits as its factorization.

40081829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 40081829 is about 6331.0211656572. The cubic root of 40081829 is about 342.2282398580.

The spelling of 40081829 in words is "forty million, eighty-one thousand, eight hundred twenty-nine".