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42105332 = 2229362977
BaseRepresentation
bin1010000010011…
…1100111110100
32221020011122202
42200213213310
541234332312
64102244032
71020614033
oct240474764
987204582
1042105332
11218493a5
1212126618
138952bc9
14584071a
153a6a9c2
hex28279f4

42105332 has 12 divisors (see below), whose sum is σ = 76225380. Its totient is φ = 20326656.

The previous prime is 42105331. The next prime is 42105391. The reversal of 42105332 is 23350124.

It is a happy number.

42105332 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 2 ways, for example, as 15335056 + 26770276 = 3916^2 + 5174^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105331) 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 3 ways as a sum of consecutive naturals, for example, 181373 + ... + 181604.

It is an arithmetic number, because the mean of its divisors is an integer number (6352115).

Almost surely, 242105332 is an apocalyptic number.

It is an amenable number.

42105332 is a deficient number, since it is larger than the sum of its proper divisors (34120048).

42105332 is a wasteful number, since it uses less digits than its factorization.

42105332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363010 (or 363008 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42105332 is about 6488.8621498688. The cubic root of 42105332 is about 347.8930066994.

Adding to 42105332 its reverse (23350124), we get a palindrome (65455456).

The spelling of 42105332 in words is "forty-two million, one hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 29 58 116 362977 725954 1451908 10526333 21052666 42105332