Search a number
-
+
286031988 = 2232112924907
BaseRepresentation
bin10001000011001…
…000000001110100
3201221012221010100
4101003020001310
51041211010423
644214354100
710042142334
oct2103100164
9657187110
10286031988
11137504080
127b95b930
134734a0c8
1429db90c4
151a1a0343
hex110c8074

286031988 has 72 divisors (see below), whose sum is σ = 815986080. Its totient is φ = 83684160.

The previous prime is 286031981. The next prime is 286032011. The reversal of 286031988 is 889130682.

286031988 is a `hidden beast` number, since 28 + 603 + 19 + 8 + 8 = 666.

286031988 is digitally balanced in base 3, 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 (45) 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 (286031981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970 + ... + 23937.

It is an arithmetic number, because the mean of its divisors is an integer number (11333140).

Almost surely, 2286031988 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 286031988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407993040).

286031988 is an abundant number, since it is smaller than the sum of its proper divisors (529954092).

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

286031988 is a wasteful number, since it uses less digits than its factorization.

286031988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24957 (or 24952 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 286031988 is about 16912.4802438909. The cubic root of 286031988 is about 658.8777899369.

The spelling of 286031988 in words is "two hundred eighty-six million, thirty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 24907 49814 74721 99628 149442 224163 273977 298884 448326 547954 722303 821931 896652 1095908 1444606 1643862 2166909 2465793 2889212 3287724 4333818 4931586 6500727 7945333 8667636 9863172 13001454 15890666 23835999 26002908 31781332 47671998 71507997 95343996 143015994 286031988