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284990608 = 24723317349
BaseRepresentation
bin10000111111001…
…001110010010000
3201212021000121201
4100333021302100
51040424144413
644140200544
710030244260
oct2077116220
9655230551
10284990608
11136962731
127b539154
13470740c6
1429bc77a0
151a0469dd
hex10fc9c90

284990608 has 80 divisors (see below), whose sum is σ = 662457600. Its totient is φ = 116126208.

The previous prime is 284990579. The next prime is 284990609. The reversal of 284990608 is 806099482.

284990608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (284990609) 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 15 ways as a sum of consecutive naturals, for example, 816418 + ... + 816766.

It is an arithmetic number, because the mean of its divisors is an integer number (8280720).

Almost surely, 2284990608 is an apocalyptic number.

284990608 is a gapful number since it is divisible by the number (28) 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 284990608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331228800).

284990608 is an abundant number, since it is smaller than the sum of its proper divisors (377466992).

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

284990608 is a wasteful number, since it uses less digits than its factorization.

284990608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 284990608 is about 16881.6648468094. The cubic root of 284990608 is about 658.0772075219.

The spelling of 284990608 in words is "two hundred eighty-four million, nine hundred ninety thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 317 322 349 368 634 644 698 1268 1288 1396 2219 2443 2536 2576 2792 4438 4886 5072 5584 7291 8027 8876 9772 14582 16054 17752 19544 29164 32108 35504 39088 51037 56189 58328 64216 102074 110633 112378 116656 128432 204148 221266 224756 408296 442532 449512 774431 816592 885064 899024 1548862 1770128 2544559 3097724 5089118 6195448 10178236 12390896 17811913 20356472 35623826 40712944 71247652 142495304 284990608