Search a number
-
+
42608565 = 335547577
BaseRepresentation
bin1010001010001…
…0011110110101
32222011201222000
42202202132311
541401433230
64121125513
71025111136
oct242423665
988151860
1042608565
112206249a
1212329899
138a9ac8c
145931c8d
153b19b60
hex28a27b5

42608565 has 32 divisors (see below), whose sum is σ = 76018560. Its totient is φ = 22643712.

The previous prime is 42608563. The next prime is 42608593. The reversal of 42608565 is 56580624.

42608565 is a `hidden beast` number, since 42 + 608 + 5 + 6 + 5 = 666.

42608565 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 42608565 - 21 = 42608563 is a prime.

It is a super-2 number, since 2×426085652 = 3630979622718450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42608563) 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, 73557 + ... + 74133.

It is an arithmetic number, because the mean of its divisors is an integer number (2375580).

Almost surely, 242608565 is an apocalyptic number.

42608565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42608565 is a deficient number, since it is larger than the sum of its proper divisors (33409995).

42608565 is a wasteful number, since it uses less digits than its factorization.

42608565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42608565 is about 6527.5236498997. The cubic root of 42608565 is about 349.2734998390.

The spelling of 42608565 in words is "forty-two million, six hundred eight thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 547 577 1641 1731 2735 2885 4923 5193 8205 8655 14769 15579 24615 25965 73845 77895 315619 946857 1578095 2840571 4734285 8521713 14202855 42608565