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42641005 = 511270481
BaseRepresentation
bin1010001010101…
…0011001101101
32222020101110111
42202222121231
541404003010
64121540021
71025304541
oct242523155
988211414
1042641005
1122084900
1212344611
138aac984
14593da21
153b2458a
hex28aa66d

42641005 has 12 divisors (see below), whose sum is σ = 56244636. Its totient is φ = 31011200.

The previous prime is 42640957. The next prime is 42641009. The reversal of 42641005 is 50014624.

42641005 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 31967716 + 10673289 = 5654^2 + 3267^2 .

It is not a de Polignac number, because 42641005 - 211 = 42638957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641009) 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 11 ways as a sum of consecutive naturals, for example, 34636 + ... + 35845.

It is an arithmetic number, because the mean of its divisors is an integer number (4687053).

Almost surely, 242641005 is an apocalyptic number.

It is an amenable number.

42641005 is a deficient number, since it is larger than the sum of its proper divisors (13603631).

42641005 is a wasteful number, since it uses less digits than its factorization.

42641005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70508 (or 70497 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42641005 is about 6530.0080398113. The cubic root of 42641005 is about 349.3621170617.

Adding to 42641005 its reverse (50014624), we get a palindrome (92655629).

The spelling of 42641005 in words is "forty-two million, six hundred forty-one thousand, five".

Divisors: 1 5 11 55 121 605 70481 352405 775291 3876455 8528201 42641005