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42727752 = 23325311197
BaseRepresentation
bin1010001011111…
…1100101001000
32222101210110100
42202333211020
541414242002
64123445400
71026115464
oct242774510
988353410
1042727752
1122133aa1
1212386860
138b102c2
1459634a4
153b4011c
hex28bf948

42727752 has 48 divisors (see below), whose sum is σ = 117914940. Its totient is φ = 13972608.

The previous prime is 42727739. The next prime is 42727771. The reversal of 42727752 is 25772724.

42727752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 34596 = 6534^2 + 186^2 .

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1783 + ... + 9414.

Almost surely, 242727752 is an apocalyptic number.

It is an amenable number.

42727752 is an abundant number, since it is smaller than the sum of its proper divisors (75187188).

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

42727752 is a wasteful number, since it uses less digits than its factorization.

42727752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11255 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 42727752 is about 6536.6468468168. The cubic root of 42727752 is about 349.5988656063.

The spelling of 42727752 in words is "forty-two million, seven hundred twenty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 11197 22394 33591 44788 67182 89576 100773 134364 201546 268728 403092 593441 806184 1186882 1780323 2373764 3560646 4747528 5340969 7121292 10681938 14242584 21363876 42727752