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42584304 = 2437126739
BaseRepresentation
bin1010001001110…
…0100011110000
32222010111200110
42202130203300
541400144204
64120421320
71024650330
oct242344360
988114613
1042584304
1122046244
1212317840
138a8cc19
1459270c0
153b12889
hex289c8f0

42584304 has 40 divisors (see below), whose sum is σ = 125726080. Its totient is φ = 12166848.

The previous prime is 42584287. The next prime is 42584323. The reversal of 42584304 is 40348524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63034 + ... + 63705.

It is an arithmetic number, because the mean of its divisors is an integer number (3143152).

Almost surely, 242584304 is an apocalyptic number.

It is an amenable number.

42584304 is an abundant number, since it is smaller than the sum of its proper divisors (83141776).

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

42584304 is a wasteful number, since it uses less digits than its factorization.

42584304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126757 (or 126751 counting only the distinct ones).

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

The square root of 42584304 is about 6525.6650235819. The cubic root of 42584304 is about 349.2071960088.

The spelling of 42584304 in words is "forty-two million, five hundred eighty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 126739 253478 380217 506956 760434 887173 1013912 1520868 1774346 2027824 2661519 3041736 3548692 5323038 6083472 7097384 10646076 14194768 21292152 42584304