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42582432 = 253443567
BaseRepresentation
bin1010001001110…
…0000110100000
32222010102010010
42202130012200
541400114212
64120404520
71024642014
oct242340640
988112103
1042582432
11220448a2
1212316740
138a8c109
145926544
153b1203c
hex289c1a0

42582432 has 24 divisors (see below), whose sum is σ = 111779136. Its totient is φ = 14194112.

The previous prime is 42582409. The next prime is 42582457. The reversal of 42582432 is 23428524.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42582432.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221688 + ... + 221879.

It is an arithmetic number, because the mean of its divisors is an integer number (4657464).

Almost surely, 242582432 is an apocalyptic number.

It is an amenable number.

42582432 is an abundant number, since it is smaller than the sum of its proper divisors (69196704).

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

42582432 is a wasteful number, since it uses less digits than its factorization.

42582432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443580 (or 443572 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42582432 is about 6525.5215883483. The cubic root of 42582432 is about 349.2020789008.

The spelling of 42582432 in words is "forty-two million, five hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 443567 887134 1330701 1774268 2661402 3548536 5322804 7097072 10645608 14194144 21291216 42582432