Search a number
-
+
285929442 = 232191038117
BaseRepresentation
bin10001000010101…
…110111111100010
3201221000201110100
4101002232333202
51041144220232
644212243230
710041234351
oct2102567742
9657021410
10285929442
11137444027
127b910516
1347312526
1429d8d998
151a17ec7c
hex110aefe2

285929442 has 48 divisors (see below), whose sum is σ = 658532160. Its totient is φ = 89405856.

The previous prime is 285929429. The next prime is 285929453. The reversal of 285929442 is 244929582.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31168 + ... + 39284.

It is an arithmetic number, because the mean of its divisors is an integer number (13719420).

Almost surely, 2285929442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285929442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329266080).

285929442 is an abundant number, since it is smaller than the sum of its proper divisors (372602718).

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

285929442 is a wasteful number, since it uses less digits than its factorization.

285929442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8244 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 285929442 is about 16909.4483056071. The cubic root of 285929442 is about 658.7990419173.

The spelling of 285929442 in words is "two hundred eighty-five million, nine hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 618 927 1854 1957 3914 5871 8117 11742 16234 17613 24351 35226 48702 73053 146106 154223 308446 462669 836051 925338 1388007 1672102 2508153 2776014 5016306 7524459 15048918 15884969 31769938 47654907 95309814 142964721 285929442