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281088 = 293261
BaseRepresentation
bin1000100101000000000
3112021120200
41010220000
532443323
610005200
72250333
oct1045000
9467520
10281088
11182205
12116800
139ac32
147461a
1558443
hex44a00

281088 has 60 divisors (see below), whose sum is σ = 824538. Its totient is φ = 92160.

The previous prime is 281081. The next prime is 281117. The reversal of 281088 is 880182.

281088 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 only one way, i.e., 278784 + 2304 = 528^2 + 48^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281088.

It is not an unprimeable number, because it can be changed into a prime (281081) by changing a digit.

281088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4578 + ... + 4638.

2281088 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 281088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412269).

281088 is an abundant number, since it is smaller than the sum of its proper divisors (543450).

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

281088 is an equidigital number, since it uses as much as digits as its factorization.

281088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

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

The square root of 281088 is about 530.1773288250. The cubic root of 281088 is about 65.5059528805.

The spelling of 281088 in words is "two hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1098 1152 1464 1536 1952 2196 2304 2928 3904 4392 4608 5856 7808 8784 11712 15616 17568 23424 31232 35136 46848 70272 93696 140544 281088