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42724288 = 266591013
BaseRepresentation
bin1010001011111…
…0101111000000
32222101121201001
42202332233000
541414134123
64123421344
71026102415
oct242765700
988347631
1042724288
1122131432
1212384854
138b0b859
14596210c
153b3e0ad
hex28bebc0

42724288 has 28 divisors (see below), whose sum is σ = 84993480. Its totient is φ = 21308672.

The previous prime is 42724273. The next prime is 42724289. The reversal of 42724288 is 88242724.

42724288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42724289) 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 3 ways as a sum of consecutive naturals, for example, 41670 + ... + 42682.

Almost surely, 242724288 is an apocalyptic number.

It is an amenable number.

42724288 is a deficient number, since it is larger than the sum of its proper divisors (42269192).

42724288 is a wasteful number, since it uses less digits than its factorization.

42724288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its digits is 57344, while the sum is 37.

The square root of 42724288 is about 6536.3818737892. The cubic root of 42724288 is about 349.5894178575.

The spelling of 42724288 in words is "forty-two million, seven hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 659 1013 1318 2026 2636 4052 5272 8104 10544 16208 21088 32416 42176 64832 667567 1335134 2670268 5340536 10681072 21362144 42724288