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24282 = 2321971
BaseRepresentation
bin101111011011010
31020022100
411323122
51234112
6304230
7130536
oct57332
936270
1024282
1117275
1212076
13b08b
148bc6
1572dc
hex5eda

24282 has 24 divisors (see below), whose sum is σ = 56160. Its totient is φ = 7560.

The previous prime is 24281. The next prime is 24317. The reversal of 24282 is 28242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

224282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080).

24282 is an abundant number, since it is smaller than the sum of its proper divisors (31878).

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

24282 is a wasteful number, since it uses less digits than its factorization.

24282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 95 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 24282 is about 155.8268269586. The cubic root of 24282 is about 28.9575279984.

It can be divided in two parts, 242 and 82, that added together give a square (324 = 182).

The spelling of 24282 in words is "twenty-four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 2698 4047 8094 12141 24282