Search a number
-
+
285450 = 235211173
BaseRepresentation
bin1000101101100001010
3112111120020
41011230022
533113300
610041310
72266134
oct1055412
9474506
10285450
11185510
12119236
139cc09
1476054
15598a0
hex45b0a

285450 has 48 divisors (see below), whose sum is σ = 776736. Its totient is φ = 68800.

The previous prime is 285433. The next prime is 285451. The reversal of 285450 is 54582.

It is a Curzon number.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 285450.

It is not an unprimeable number, because it can be changed into a prime (285451) 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, 1564 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (16182).

2285450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388368).

285450 is an abundant number, since it is smaller than the sum of its proper divisors (491286).

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

285450 is a wasteful number, since it uses less digits than its factorization.

285450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 285450 is about 534.2752099808. The cubic root of 285450 is about 65.8430614619.

The spelling of 285450 in words is "two hundred eighty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 173 275 330 346 519 550 825 865 1038 1650 1730 1903 2595 3806 4325 5190 5709 8650 9515 11418 12975 19030 25950 28545 47575 57090 95150 142725 285450