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288584420 = 22514429221
BaseRepresentation
bin10001001100110…
…111001011100100
3202010000121101212
4101030313023210
51042334200140
644345210552
710102632665
oct2114671344
9663017355
10288584420
11138997823
1280790a58
1347a31b17
142a48136c
151a506765
hex113372e4

288584420 has 12 divisors (see below), whose sum is σ = 606027324. Its totient is φ = 115433760.

The previous prime is 288584411. The next prime is 288584431. The reversal of 288584420 is 24485882.

It can be written as a sum of positive squares in 2 ways, for example, as 98089216 + 190495204 = 9904^2 + 13802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7214591 + ... + 7214630.

It is an arithmetic number, because the mean of its divisors is an integer number (50502277).

Almost surely, 2288584420 is an apocalyptic number.

288584420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288584420 is an abundant number, since it is smaller than the sum of its proper divisors (317442904).

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

288584420 is a wasteful number, since it uses less digits than its factorization.

288584420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429230 (or 14429228 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 41.

The square root of 288584420 is about 16987.7726615351. The cubic root of 288584420 is about 660.8318406381.

The spelling of 288584420 in words is "two hundred eighty-eight million, five hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 14429221 28858442 57716884 72146105 144292210 288584420