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288288 = 253271113
BaseRepresentation
bin1000110011000100000
3112122110100
41012120200
533211123
610102400
72310330
oct1063040
9478410
10288288
11187660
1211aa00
13a12b0
14770c0
155a643
hex46620

288288 has 144 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 69120.

The previous prime is 288283. The next prime is 288293. The reversal of 288288 is 882882.

288288 divided by its sum of digits (36) gives a palindrome (8008).

Multipling 288288 by its reverse (882882), we get a square (254524286016 = 5045042).

It can be divided in two parts, 288 and 288, that added together give a square (576 = 242).

It is an interprime number because it is at equal distance from previous prime (288283) and next prime (288293).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (288283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22170 + ... + 22182.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2288288 is an apocalyptic number.

288288 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 288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

288288 is an abundant number, since it is smaller than the sum of its proper divisors (812448).

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

288288 is a wasteful number, since it uses less digits than its factorization.

288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 288288 is about 536.9245757087. The cubic root of 288288 is about 66.0605504927.

The spelling of 288288 in words is "two hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 66 72 77 78 84 88 91 96 99 104 112 117 126 132 143 144 154 156 168 176 182 198 208 224 231 234 252 264 273 286 288 308 312 336 352 364 396 416 429 462 468 504 528 546 572 616 624 672 693 728 792 819 858 924 936 1001 1008 1056 1092 1144 1232 1248 1287 1386 1456 1584 1638 1716 1848 1872 2002 2016 2184 2288 2464 2574 2772 2912 3003 3168 3276 3432 3696 3744 4004 4368 4576 5148 5544 6006 6552 6864 7392 8008 8736 9009 10296 11088 12012 13104 13728 16016 18018 20592 22176 24024 26208 32032 36036 41184 48048 72072 96096 144144 288288