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286349886 = 232294211303
BaseRepresentation
bin10001000100010…
…101101000111110
3201221211002012100
4101010111220332
51041301144021
644225245530
710044635214
oct2104255076
9657732170
10286349886
111377009a9
127ba938a6
134742ba04
142a05ccb4
151a214626
hex11115a3e

286349886 has 48 divisors (see below), whose sum is σ = 643836960. Its totient is φ = 91869120.

The previous prime is 286349881. The next prime is 286349927. The reversal of 286349886 is 688943682.

286349886 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286349881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 219111 + ... + 220413.

It is an arithmetic number, because the mean of its divisors is an integer number (13413270).

Almost surely, 2286349886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286349886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321918480).

286349886 is an abundant number, since it is smaller than the sum of its proper divisors (357487074).

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

286349886 is a wasteful number, since it uses less digits than its factorization.

286349886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1758 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 286349886 is about 16921.8759598338. The cubic root of 286349886 is about 659.1217933950.

The spelling of 286349886 in words is "two hundred eighty-six million, three hundred forty-nine thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 421 522 842 1263 1303 2526 2606 3789 3909 7578 7818 11727 12209 23454 24418 36627 37787 73254 75574 109881 113361 219762 226722 340083 548563 680166 1097126 1645689 3291378 4937067 9874134 15908327 31816654 47724981 95449962 143174943 286349886