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284828900 = 225221113499
BaseRepresentation
bin10000111110100…
…010010011100100
3201211221210210112
4100332202103210
51040404011100
644132512152
710026001646
oct2076422344
9654853715
10284828900
11136862194
127b47b658
1347018615
1429b84896
151a013b35
hex10fa24e4

284828900 has 36 divisors (see below), whose sum is σ = 621054000. Its totient is φ = 113383200.

The previous prime is 284828893. The next prime is 284828903. The reversal of 284828900 is 9828482.

It is a super-2 number, since 2×2848289002 = 162255004550420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284828903) 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, 14351 + ... + 27849.

It is an arithmetic number, because the mean of its divisors is an integer number (17251500).

Almost surely, 2284828900 is an apocalyptic number.

284828900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310527000).

284828900 is an abundant number, since it is smaller than the sum of its proper divisors (336225100).

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

284828900 is a wasteful number, since it uses less digits than its factorization.

284828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13724 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 284828900 is about 16876.8747106803. The cubic root of 284828900 is about 657.9527163049.

The spelling of 284828900 in words is "two hundred eighty-four million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 10550 13499 21100 26998 53996 67495 134990 269980 337475 674950 1349900 2848289 5696578 11393156 14241445 28482890 56965780 71207225 142414450 284828900