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438282 = 232131873
BaseRepresentation
bin1101011000000001010
3211021012200
41223000022
5103011112
613221030
73503535
oct1530012
9737180
10438282
1127a319
12191776
13124650
14b5a1c
1589cdc
hex6b00a

438282 has 24 divisors (see below), whose sum is σ = 1023204. Its totient is φ = 134784.

The previous prime is 438281. The next prime is 438287. The reversal of 438282 is 282834.

438282 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335241 + 103041 = 579^2 + 321^2 .

It is a super-2 number, since 2×4382822 = 384182223048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438281) 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 11 ways as a sum of consecutive naturals, for example, 703 + ... + 1170.

2438282 is an apocalyptic number.

438282 is an abundant number, since it is smaller than the sum of its proper divisors (584922).

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

438282 is a wasteful number, since it uses less digits than its factorization.

438282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1891 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 438282 is about 662.0287002842. The cubic root of 438282 is about 75.9599280905.

The spelling of 438282 in words is "four hundred thirty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1873 3746 5619 11238 16857 24349 33714 48698 73047 146094 219141 438282