Search a number
-
+
42883506 = 234972729
BaseRepresentation
bin1010001110010…
…1100110110010
32222200201010000
42203211212302
541434233011
64131050430
71030334541
oct243454662
988621100
1042883506
1122230016
1212440a16
138b66173
1459a4158
153b71356
hex28e59b2

42883506 has 40 divisors (see below), whose sum is σ = 97117020. Its totient is φ = 14141952.

The previous prime is 42883483. The next prime is 42883517. The reversal of 42883506 is 60538824.

42883506 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 39803481 + 3080025 = 6309^2 + 1755^2 .

It is a nialpdrome in base 9.

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 19 ways as a sum of consecutive naturals, for example, 14350 + ... + 17078.

Almost surely, 242883506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42883506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48558510).

42883506 is an abundant number, since it is smaller than the sum of its proper divisors (54233514).

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

42883506 is a wasteful number, since it uses less digits than its factorization.

42883506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42883506 is about 6548.5499158211. The cubic root of 42883506 is about 350.0231440478.

The spelling of 42883506 in words is "forty-two million, eight hundred eighty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 2729 5238 5458 7857 8187 15714 16374 24561 49122 73683 147366 221049 264713 442098 529426 794139 1588278 2382417 4764834 7147251 14294502 21441753 42883506