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42649935 = 3523181683
BaseRepresentation
bin1010001010110…
…0100101001111
32222020211201020
42202230211033
541404244220
64122045223
71025342556
oct242544517
988224636
1042649935
1122090589
1212349813
138ab3a63
145942d9d
153b27040
hex28ac94f

42649935 has 32 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 21605760.

The previous prime is 42649933. The next prime is 42649949. The reversal of 42649935 is 53994624.

42649935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42649935 - 21 = 42649933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42649933) 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 31 ways as a sum of consecutive naturals, for example, 62104 + ... + 62786.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 242649935 is an apocalyptic number.

42649935 is a deficient number, since it is larger than the sum of its proper divisors (29055153).

42649935 is a wasteful number, since it uses less digits than its factorization.

42649935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895.

The product of its digits is 233280, while the sum is 42.

The square root of 42649935 is about 6530.6917704023. The cubic root of 42649935 is about 349.3865034940.

Subtracting from 42649935 its product of digits (233280), we obtain a triangular number (42416655 = T9210).

The spelling of 42649935 in words is "forty-two million, six hundred forty-nine thousand, nine hundred thirty-five".

Divisors: 1 3 5 15 23 69 115 181 345 543 683 905 2049 2715 3415 4163 10245 12489 15709 20815 47127 62445 78545 123623 235635 370869 618115 1854345 2843329 8529987 14216645 42649935