Search a number
-
+
284988 = 2231117127
BaseRepresentation
bin1000101100100111100
3112110221010
41011210330
533104423
610035220
72264604
oct1054474
9473833
10284988
11185130
12118b10
139c942
1475c04
1559693
hex4593c

284988 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 80640.

The previous prime is 284969. The next prime is 284989. The reversal of 284988 is 889482.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284989) by changing a digit.

284988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181 + ... + 2307.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2284988 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 284988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

284988 is an abundant number, since it is smaller than the sum of its proper divisors (489156).

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

284988 is a wasteful number, since it uses less digits than its factorization.

284988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 284988 is about 533.8426734535. The cubic root of 284988 is about 65.8075200122.

The spelling of 284988 in words is "two hundred eighty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 127 132 187 204 254 374 381 508 561 748 762 1122 1397 1524 2159 2244 2794 4191 4318 5588 6477 8382 8636 12954 16764 23749 25908 47498 71247 94996 142494 284988