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40442329 = 614091621
BaseRepresentation
bin1001101001000…
…1100111011001
32211002200110001
42122101213121
540323123304
64002453001
71000516444
oct232214731
984080401
1040442329
1120912a14
1211664161
1384bcc95
14552a65b
15383cda4
hex26919d9

40442329 has 8 divisors (see below), whose sum is σ = 41231240. Its totient is φ = 39657600.

The previous prime is 40442323. The next prime is 40442341. The reversal of 40442329 is 92324404.

40442329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8497225 + 31945104 = 2915^2 + 5652^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40442329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40442297 and 40442306.

It is not an unprimeable number, because it can be changed into a prime (40442323) 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 in 7 ways as a sum of consecutive naturals, for example, 24139 + ... + 25759.

It is an arithmetic number, because the mean of its divisors is an integer number (5153905).

Almost surely, 240442329 is an apocalyptic number.

It is an amenable number.

40442329 is a deficient number, since it is larger than the sum of its proper divisors (788911).

40442329 is a wasteful number, since it uses less digits than its factorization.

40442329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091.

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 40442329 is about 6359.4283548130. The cubic root of 40442329 is about 343.2511908516.

The spelling of 40442329 in words is "forty million, four hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 61 409 1621 24949 98881 662989 40442329