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42642261 = 331579343
BaseRepresentation
bin1010001010101…
…0101101010101
32222020110012000
42202222231111
541404023021
64121545513
71025311314
oct242525525
988213160
1042642261
1122085842
1212345299
138ab040c
14594027b
153b24b26
hex28aab55

42642261 has 8 divisors (see below), whose sum is σ = 63173760. Its totient is φ = 28428156.

The previous prime is 42642247. The next prime is 42642269. The reversal of 42642261 is 16224624.

42642261 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 42642261 - 27 = 42642133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1579343 = 42642261 / (4 + 2 + 6 + 4 + 2 + 2 + 6 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42642269) 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, 789645 + ... + 789698.

It is an arithmetic number, because the mean of its divisors is an integer number (7896720).

Almost surely, 242642261 is an apocalyptic number.

It is an amenable number.

42642261 is a deficient number, since it is larger than the sum of its proper divisors (20531499).

42642261 is a wasteful number, since it uses less digits than its factorization.

42642261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579352 (or 1579346 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42642261 is about 6530.1042105008. The cubic root of 42642261 is about 349.3655472069.

Adding to 42642261 its reverse (16224624), we get a palindrome (58866885).

The spelling of 42642261 in words is "forty-two million, six hundred forty-two thousand, two hundred sixty-one".

Divisors: 1 3 9 27 1579343 4738029 14214087 42642261