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284048 = 2441433
BaseRepresentation
bin1000101010110010000
3112102122022
41011112100
533042143
610031012
72262062
oct1052620
9472568
10284048
11184456
12118468
139c39b
1475732
1559268
hex45590

284048 has 20 divisors (see below), whose sum is σ = 565068. Its totient is φ = 138240.

The previous prime is 284041. The next prime is 284051. The reversal of 284048 is 840482.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 262144 = 148^2 + 512^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284048.

It is not an unprimeable number, because it can be changed into a prime (284041) by changing a digit.

284048 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 440 + ... + 872.

2284048 is an apocalyptic number.

It is an amenable number.

284048 is a deficient number, since it is larger than the sum of its proper divisors (281020).

284048 is a wasteful number, since it uses less digits than its factorization.

284048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 284048 is about 532.9615370737. The cubic root of 284048 is about 65.7350874824.

The spelling of 284048 in words is "two hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 41 82 164 328 433 656 866 1732 3464 6928 17753 35506 71012 142024 284048