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288800 = 2552192
BaseRepresentation
bin1000110100000100000
3112200011022
41012200200
533220200
610105012
72311661
oct1064040
9480138
10288800
11187a86
1211b168
13a15b5
1477368
155a885
hex46820

288800 has 54 divisors (see below), whose sum is σ = 744093. Its totient is φ = 109440.

The previous prime is 288773. The next prime is 288803. The reversal of 288800 is 8882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

288800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 5776 = 532^2 + 76^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=380.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288800.

It is not an unprimeable number, because it can be changed into a prime (288803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15191 + ... + 15209.

2288800 is an apocalyptic number.

288800 is a gapful number since it is divisible by the number (20) 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 288800

288800 is an abundant number, since it is smaller than the sum of its proper divisors (455293).

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

288800 is a wasteful number, since it uses less digits than its factorization.

288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 288800 is about 537.4011537018. The cubic root of 288800 is about 66.0996352486.

It can be divided in two parts, 288 and 800, that multiplied together give a square (230400 = 4802).

The spelling of 288800 in words is "two hundred eighty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 361 380 400 475 608 722 760 800 950 1444 1520 1805 1900 2888 3040 3610 3800 5776 7220 7600 9025 11552 14440 15200 18050 28880 36100 57760 72200 144400 288800