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42585576 = 23311161309
BaseRepresentation
bin1010001001110…
…0110111101000
32222010120102120
42202130313220
541400214301
64120431240
71024654125
oct242346750
988116376
1042585576
11220471a0
1212318520
138a90687
14592774c
153b12e36
hex289cde8

42585576 has 32 divisors (see below), whose sum is σ = 116143200. Its totient is φ = 12904640.

The previous prime is 42585563. The next prime is 42585583. The reversal of 42585576 is 67558524.

42585576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 80391 + ... + 80918.

It is an arithmetic number, because the mean of its divisors is an integer number (3629475).

Almost surely, 242585576 is an apocalyptic number.

It is an amenable number.

42585576 is an abundant number, since it is smaller than the sum of its proper divisors (73557624).

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

42585576 is a wasteful number, since it uses less digits than its factorization.

42585576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161329 (or 161325 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 42585576 is about 6525.7624841853. The cubic root of 42585576 is about 349.2106729325.

The spelling of 42585576 in words is "forty-two million, five hundred eighty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 161309 322618 483927 645236 967854 1290472 1774399 1935708 3548798 3871416 5323197 7097596 10646394 14195192 21292788 42585576