Search a number
-
+
42585584 = 2412792081
BaseRepresentation
bin1010001001110…
…0110111110000
32222010120102212
42202130313300
541400214314
64120431252
71024654136
oct242346760
988116385
1042585584
11220471a8
1212318528
138a90692
145927756
153b12e3e
hex289cdf0

42585584 has 20 divisors (see below), whose sum is σ = 82613760. Its totient is φ = 21265920.

The previous prime is 42585583. The next prime is 42585589. The reversal of 42585584 is 48558524.

It is a happy number.

42585584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585583) 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 3 ways as a sum of consecutive naturals, for example, 19424 + ... + 21504.

It is an arithmetic number, because the mean of its divisors is an integer number (4130688).

Almost surely, 242585584 is an apocalyptic number.

It is an amenable number.

42585584 is a deficient number, since it is larger than the sum of its proper divisors (40028176).

42585584 is a wasteful number, since it uses less digits than its factorization.

42585584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3362 counting only the distinct ones).

The product of its digits is 256000, while the sum is 41.

The square root of 42585584 is about 6525.7630971404. The cubic root of 42585584 is about 349.2106947997.

The spelling of 42585584 in words is "forty-two million, five hundred eighty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 1279 2081 2558 4162 5116 8324 10232 16648 20464 33296 2661599 5323198 10646396 21292792 42585584