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286242192 = 243217116929
BaseRepresentation
bin10001000011111…
…011010110010000
3201221121121110200
4101003323112100
51041234222232
644223055200
710044006225
oct2103732620
9657547420
10286242192
11137637aa5
127ba41500
13473c19a2
142a03194c
151a1e277c
hex110fb590

286242192 has 60 divisors (see below), whose sum is σ = 848210220. Its totient is φ = 89800704.

The previous prime is 286242191. The next prime is 286242193. The reversal of 286242192 is 291242682.

286242192 is a `hidden beast` number, since 2 + 8 + 624 + 21 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (286242191) and next prime (286242193).

It can be written as a sum of positive squares in 2 ways, for example, as 210134016 + 76108176 = 14496^2 + 8724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286242191) 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 11 ways as a sum of consecutive naturals, for example, 56017 + ... + 60912.

It is an arithmetic number, because the mean of its divisors is an integer number (14136837).

Almost surely, 2286242192 is an apocalyptic number.

It is an amenable number.

286242192 is an abundant number, since it is smaller than the sum of its proper divisors (561968028).

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

286242192 is a wasteful number, since it uses less digits than its factorization.

286242192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116960 (or 116951 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 286242192 is about 16918.6935665849. The cubic root of 286242192 is about 659.0391528137.

It can be divided in two parts, 2862 and 42192, that added together give a palindrome (45054).

The spelling of 286242192 in words is "two hundred eighty-six million, two hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 116929 233858 350787 467716 701574 935432 1052361 1403148 1870864 1987793 2104722 2806296 3975586 4209444 5612592 5963379 7951172 8418888 11926758 15902344 16837776 17890137 23853516 31804688 35780274 47707032 71560548 95414064 143121096 286242192