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42666048 = 263324691
BaseRepresentation
bin1010001011000…
…0100001000000
32222021122211000
42202300201000
541410303143
64122252000
71025440545
oct242604100
988248730
1042666048
11220a16a7
1212357000
138abb1a9
145948bcc
153b2bbd3
hex28b0840

42666048 has 56 divisors (see below), whose sum is σ = 125435360. Its totient is φ = 14221440.

The previous prime is 42665957. The next prime is 42666053. The reversal of 42666048 is 84066624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10618 + ... + 14073.

Almost surely, 242666048 is an apocalyptic number.

42666048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42666048 is an abundant number, since it is smaller than the sum of its proper divisors (82769312).

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

42666048 is a wasteful number, since it uses less digits than its factorization.

42666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24712 (or 24696 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42666048 is about 6531.9252904484. The cubic root of 42666048 is about 349.4304969641.

The spelling of 42666048 in words is "forty-two million, six hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24691 49382 74073 98764 148146 197528 222219 296292 395056 444438 592584 666657 790112 888876 1185168 1333314 1580224 1777752 2370336 2666628 3555504 4740672 5333256 7111008 10666512 14222016 21333024 42666048