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2004288 = 263111373
BaseRepresentation
bin111101001010101000000
310202211100220
413221111000
51003114123
6110543040
723015256
oct7512500
93684326
102004288
111149940
12807a80
13552390
143a25d6
15298ce3
hex1e9540

2004288 has 112 divisors (see below), whose sum is σ = 6315456. Its totient is φ = 552960.

The previous prime is 2004271. The next prime is 2004293. The reversal of 2004288 is 8824002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27420 + ... + 27492.

It is an arithmetic number, because the mean of its divisors is an integer number (56388).

22004288 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 2004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728).

2004288 is an abundant number, since it is smaller than the sum of its proper divisors (4311168).

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

2004288 is a wasteful number, since it uses less digits than its factorization.

2004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2004288 is about 1415.7287875861. The cubic root of 2004288 is about 126.0820830735.

The spelling of 2004288 in words is "two million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 73 78 88 96 104 132 143 146 156 176 192 208 219 264 286 292 312 352 416 429 438 528 572 584 624 704 803 832 858 876 949 1056 1144 1168 1248 1606 1716 1752 1898 2112 2288 2336 2409 2496 2847 3212 3432 3504 3796 4576 4672 4818 5694 6424 6864 7008 7592 9152 9636 10439 11388 12848 13728 14016 15184 19272 20878 22776 25696 27456 30368 31317 38544 41756 45552 51392 60736 62634 77088 83512 91104 125268 154176 167024 182208 250536 334048 501072 668096 1002144 2004288