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42586032 = 2431635443
BaseRepresentation
bin1010001001110…
…0111110110000
32222010121001110
42202130332300
541400223112
64120433320
71024655346
oct242347660
988117043
1042586032
1122047575
1212318840
138a90948
145927996
153b1313c
hex289cfb0

42586032 has 40 divisors (see below), whose sum is σ = 110709184. Its totient is φ = 14105664.

The previous prime is 42586031. The next prime is 42586043. The reversal of 42586032 is 23068524.

42586032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42586031) 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, 5103 + ... + 10545.

Almost surely, 242586032 is an apocalyptic number.

It is an amenable number.

42586032 is an abundant number, since it is smaller than the sum of its proper divisors (68123152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42586032 is a wasteful number, since it uses less digits than its factorization.

42586032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42586032 is about 6525.7974225377. The cubic root of 42586032 is about 349.2119193600.

The spelling of 42586032 in words is "forty-two million, five hundred eighty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 5443 7824 10886 16329 21772 32658 43544 65316 87088 130632 261264 887209 1774418 2661627 3548836 5323254 7097672 10646508 14195344 21293016 42586032