Search a number
-
+
286331152 = 242943113127
BaseRepresentation
bin10001000100010…
…001000100010000
3201221210010111111
4101010101010100
51041300044102
644225023104
710044526462
oct2104210420
9657703444
10286331152
11137698918
127ba84a94
1347423323
142a056132
151a20dcd7
hex11111110

286331152 has 80 divisors (see below), whose sum is σ = 597104640. Its totient is φ = 132765696.

The previous prime is 286331147. The next prime is 286331173. The reversal of 286331152 is 251133682.

Its product of digits (8640) is a multiple of the sum of its prime factors (320).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254513 + ... + 2254639.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2286331152 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 286331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298552320).

286331152 is an abundant number, since it is smaller than the sum of its proper divisors (310773488).

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

286331152 is a wasteful number, since it uses less digits than its factorization.

286331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 286331152 is about 16921.3224069515. The cubic root of 286331152 is about 659.1074190723.

The spelling of 286331152 in words is "two hundred eighty-six million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 43 58 86 113 116 127 172 226 232 254 344 452 464 508 688 904 1016 1247 1808 2032 2494 3277 3683 4859 4988 5461 6554 7366 9718 9976 10922 13108 14351 14732 19436 19952 21844 26216 28702 29464 38872 43688 52432 57404 58928 77744 87376 114808 140911 158369 229616 281822 316738 416179 563644 617093 633476 832358 1127288 1234186 1266952 1664716 2254576 2468372 2533904 3329432 4936744 6658864 9873488 17895697 35791394 71582788 143165576 286331152