288 (number)

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
← 287 288 289 →
Cardinal two hundred eighty-eight
Ordinal 288th
(two hundred eighty-eighth)
Factorization 25× 32
Greek numeral ΣΠΗ´
Roman numeral CCLXXXVIII
Binary 1001000002
Ternary 1012003
Quaternary 102004
Quinary 21235
Senary 12006
Octal 4408
Duodecimal 20012
Hexadecimal 12016
Vigesimal E820
Base 36 8036

288 is a pentagonal pyramidal number, is 4 superfactorial since 288 = 1!·2!·3!·4!

288 is an untouchable number, a Harshad number in base 10 and base 12, an Achilles number, a 3-smooth number and a self number.

Both 288 and 289 are powerful numbers.

288 is sum of the sequence of integers 1..4 to the second tetration (i.e. , where is the hyperoperation) since 288 = 1 + 4 + 27 + 256 = 11 + 22 + 33 + 44.

288 is the number of labelled pointed rooted trees (vertebrates) with up to 4 nodes, the number of maximal directed Pseudoforests on up to 4 vertices, the number of Endofunctions for all sets with ≤ 4 points, and is two dozen sets of a dozen, thus being two gross and being 200 in base 12, often told as a pun in maths classes.