Search a number
-
+
281808 = 243219103
BaseRepresentation
bin1000100110011010000
3112022120100
41010303100
533004213
610012400
72252412
oct1046320
9468510
10281808
111827aa
12117100
139b367
14749b2
1558773
hex44cd0

281808 has 60 divisors (see below), whose sum is σ = 838240. Its totient is φ = 88128.

The previous prime is 281807. The next prime is 281833. The reversal of 281808 is 808182.

281808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281808.

It is not an unprimeable number, because it can be changed into a prime (281803) by changing a digit.

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, 2685 + ... + 2787.

2281808 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 281808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419120).

281808 is an abundant number, since it is smaller than the sum of its proper divisors (556432).

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

281808 is a wasteful number, since it uses less digits than its factorization.

281808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 281808 is about 530.8559126543. The cubic root of 281808 is about 65.5618358225.

It can be divided in two parts, 281 and 808, that added together give a square (1089 = 332).

The spelling of 281808 in words is "two hundred eighty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 103 114 144 152 171 206 228 304 309 342 412 456 618 684 824 912 927 1236 1368 1648 1854 1957 2472 2736 3708 3914 4944 5871 7416 7828 11742 14832 15656 17613 23484 31312 35226 46968 70452 93936 140904 281808