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42282 = 23629
BaseRepresentation
bin1010010100101010
32011000000
422110222
52323112
6523430
7234162
oct122452
964000
1042282
1129849
1220576
1316326
14115a2
15c7dc
hexa52a

42282 has 28 divisors (see below), whose sum is σ = 98370. Its totient is φ = 13608.

The previous prime is 42281. The next prime is 42283. The reversal of 42282 is 28224.

It can be divided in two parts, 42 and 282, that added together give a square (324 = 182).

It is an interprime number because it is at equal distance from previous prime (42281) and next prime (42283).

It can be written as a sum of positive squares in only one way, i.e., 35721 + 6561 = 189^2 + 81^2 .

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

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42282.

It is not an unprimeable number, because it can be changed into a prime (42281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1444 + ... + 1472.

242282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49185).

42282 is an abundant number, since it is smaller than the sum of its proper divisors (56088).

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

42282 is an equidigital number, since it uses as much as digits as its factorization.

42282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 34 counting only the distinct ones).

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

The square root of 42282 is about 205.6258738583. The cubic root of 42282 is about 34.8378897657.

The spelling of 42282 in words is "forty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 1458 1566 2349 4698 7047 14094 21141 42282