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5580288 = 29327173
BaseRepresentation
bin10101010010011000000000
3101111111201100
4111102120000
52412032123
6315334400
765301030
oct25223000
911444640
105580288
11317160a
121a51400
131204c5c
14a538c0
15753643
hex552600

5580288 has 120 divisors (see below), whose sum is σ = 18512208. Its totient is φ = 1585152.

The previous prime is 5580271. The next prime is 5580293. The reversal of 5580288 is 8820855.

It is a super-2 number, since 2×55802882 = 62279228325888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 32170 + ... + 32342.

Almost surely, 25580288 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 5580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256104).

5580288 is an abundant number, since it is smaller than the sum of its proper divisors (12931920).

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

5580288 is a wasteful number, since it uses less digits than its factorization.

5580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5580288 is about 2362.2633214779. The cubic root of 5580288 is about 177.3721939194.

The spelling of 5580288 in words is "five million, five hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 173 192 224 252 256 288 336 346 384 448 504 512 519 576 672 692 768 896 1008 1038 1152 1211 1344 1384 1536 1557 1792 2016 2076 2304 2422 2688 2768 3114 3584 3633 4032 4152 4608 4844 5376 5536 6228 7266 8064 8304 9688 10752 10899 11072 12456 14532 16128 16608 19376 21798 22144 24912 29064 32256 33216 38752 43596 44288 49824 58128 66432 77504 87192 88576 99648 116256 132864 155008 174384 199296 232512 265728 310016 348768 398592 465024 620032 697536 797184 930048 1395072 1860096 2790144 5580288