Search a number
-
+
286117392 = 24311541889
BaseRepresentation
bin10001000011011…
…100111000010000
3201221101021021110
4101003130320100
51041221224032
644220253320
710042646331
oct2103347020
9657337243
10286117392
11137562260
127b9a1240
1347379c42
1429ddc288
151a1ba7cc
hex110dce10

286117392 has 40 divisors (see below), whose sum is σ = 806332320. Its totient is φ = 86702080.

The previous prime is 286117343. The next prime is 286117397. The reversal of 286117392 is 293711682.

It is a self number, because there is not a number n which added to its sum of digits gives 286117392.

It is not an unprimeable number, because it can be changed into a prime (286117397) by changing a digit.

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, 270417 + ... + 271472.

It is an arithmetic number, because the mean of its divisors is an integer number (20158308).

Almost surely, 2286117392 is an apocalyptic number.

286117392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

286117392 is an abundant number, since it is smaller than the sum of its proper divisors (520214928).

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

286117392 is a wasteful number, since it uses less digits than its factorization.

286117392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541911 (or 541905 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 286117392 is about 16915.0049364462. The cubic root of 286117392 is about 658.9433597584.

The spelling of 286117392 in words is "two hundred eighty-six million, one hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 541889 1083778 1625667 2167556 3251334 4335112 5960779 6502668 8670224 11921558 13005336 17882337 23843116 26010672 35764674 47686232 71529348 95372464 143058696 286117392