Search a number
-
+
286047424 = 2613893863
BaseRepresentation
bin10001000011001…
…011110011000000
3201221020201022001
4101003023303000
51041212004144
644214553344
710042235335
oct2103136300
9657221261
10286047424
11137514733
127b968854
1347354140
1429dc098c
151a1a4bd4
hex110cbcc0

286047424 has 56 divisors (see below), whose sum is σ = 618317280. Its totient is φ = 130504704.

The previous prime is 286047397. The next prime is 286047431. The reversal of 286047424 is 424740682.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72117 + ... + 75979.

It is an arithmetic number, because the mean of its divisors is an integer number (11041380).

Almost surely, 2286047424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309158640).

286047424 is an abundant number, since it is smaller than the sum of its proper divisors (332269856).

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

286047424 is a wasteful number, since it uses less digits than its factorization.

286047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 286047424 is about 16912.9365871217. The cubic root of 286047424 is about 658.8896420549.

The spelling of 286047424 in words is "two hundred eighty-six million, forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 178 208 356 416 712 832 1157 1424 2314 2848 3863 4628 5696 7726 9256 15452 18512 30904 37024 50219 61808 74048 100438 123616 200876 247232 343807 401752 687614 803504 1375228 1607008 2750456 3214016 4469491 5500912 8938982 11001824 17877964 22003648 35755928 71511856 143023712 286047424