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42442241 = 534011997
BaseRepresentation
bin1010000111100…
…1111000000001
32221212021210212
42201321320001
541331122431
64113403505
71023516212
oct241717001
987767725
1042442241
1121a59536
1212269595
138a4036a
1458cb409
153ad572b
hex2879e01

42442241 has 8 divisors (see below), whose sum is σ = 43372584. Its totient is φ = 41516800.

The previous prime is 42442237. The next prime is 42442259. The reversal of 42442241 is 14224424.

It can be written as a sum of positive squares in 4 ways, for example, as 11082241 + 31360000 = 3329^2 + 5600^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42442241 - 22 = 42442237 is a prime.

It is a super-2 number, since 2×424422412 = 3602687642204162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42442201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20255 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (5421573).

Almost surely, 242442241 is an apocalyptic number.

It is an amenable number.

42442241 is a deficient number, since it is larger than the sum of its proper divisors (930343).

42442241 is a wasteful number, since it uses less digits than its factorization.

42442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451.

The product of its digits is 2048, while the sum is 23.

The square root of 42442241 is about 6514.7709859979. The cubic root of 42442241 is about 348.8184401680.

Adding to 42442241 its reverse (14224424), we get a palindrome (56666665).

The spelling of 42442241 in words is "forty-two million, four hundred forty-two thousand, two hundred forty-one".

Divisors: 1 53 401 1997 21253 105841 800797 42442241