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42706105 = 513657017
BaseRepresentation
bin1010001011101…
…0010010111001
32222100200202121
42202322102321
541413043410
64123201241
71025665411
oct242722271
988320677
1042706105
1122119802
1212376221
138b034b0
145959641
153b389da
hex28ba4b9

42706105 has 8 divisors (see below), whose sum is σ = 55189512. Its totient is φ = 31536768.

The previous prime is 42706087. The next prime is 42706109. The reversal of 42706105 is 50160724.

42706105 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 2396304 + 40309801 = 1548^2 + 6349^2 .

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 42706105 - 217 = 42575033 is a prime.

It is a super-2 number, since 2×427061052 = 3647622808542050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42706105.

It is not an unprimeable number, because it can be changed into a prime (42706109) 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, 328444 + ... + 328573.

It is an arithmetic number, because the mean of its divisors is an integer number (6898689).

Almost surely, 242706105 is an apocalyptic number.

It is an amenable number.

42706105 is a deficient number, since it is larger than the sum of its proper divisors (12483407).

42706105 is a wasteful number, since it uses less digits than its factorization.

42706105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657035.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 42706105 is about 6534.9908186623. The cubic root of 42706105 is about 349.5398169813.

Adding to 42706105 its reverse (50160724), we get a palindrome (92866829).

The spelling of 42706105 in words is "forty-two million, seven hundred six thousand, one hundred five".

Divisors: 1 5 13 65 657017 3285085 8541221 42706105