Search a number
-
+
282552 = 23361193
BaseRepresentation
bin1000100111110111000
3112100120220
41010332320
533020202
610020040
72254524
oct1047670
9470526
10282552
11183316
12117620
139b7ba
1474d84
1558abc
hex44fb8

282552 has 32 divisors (see below), whose sum is σ = 721680. Its totient is φ = 92160.

The previous prime is 282493. The next prime is 282559. The reversal of 282552 is 255282.

282552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

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 282552.

It is not an unprimeable number, because it can be changed into a prime (282559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368 + ... + 1560.

2282552 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 282552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360840).

282552 is an abundant number, since it is smaller than the sum of its proper divisors (439128).

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

282552 is a wasteful number, since it uses less digits than its factorization.

282552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

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

The square root of 282552 is about 531.5562058710. The cubic root of 282552 is about 65.6194816221.

The spelling of 282552 in words is "two hundred eighty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 193 244 366 386 488 579 732 772 1158 1464 1544 2316 4632 11773 23546 35319 47092 70638 94184 141276 282552