282752 has 24 divisors (see below), whose sum is σ = 575535. Its totient is φ = 138368.

The previous prime is 282713. The next prime is 282767. The reversal of 282752 is 257282.

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.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 141376 = 376^2 + 376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=376.

It is a d-powerful number, because it can be written as 2⁵ + 8³ + 7³ + 2¹² + 5⁶ + 2¹⁸ .

It is a Duffinian number.

It is an unprimeable number.

282752 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 2 ways as a sum of consecutive naturals, for example, 5993 + ... + 6039.

282752 is a Friedman number, since it can be written as (752*2)^2/8, using all its digits and the basic arithmetic operations.

2²⁸²⁷⁵² 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 282752

282752 is an abundant number, since it is smaller than the sum of its proper divisors (292783).

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

282752 is an frugal number, since it uses more digits than its factorization.

282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 282752 is about 531.7442994523. The cubic root of 282752 is about 65.6349605440.

The spelling of 282752 in words is "two hundred eighty-two thousand, seven hundred fifty-two".