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42882 = 2371021
BaseRepresentation
bin1010011110000010
32011211020
422132002
52333012
6530310
7236010
oct123602
964736
1042882
112a244
1220996
1316698
14118b0
15ca8c
hexa782

42882 has 16 divisors (see below), whose sum is σ = 98112. Its totient is φ = 12240.

The previous prime is 42863. The next prime is 42899. The reversal of 42882 is 28824.

It is a congruent number.

It is an unprimeable number.

42882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 469 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (6132).

242882 is an apocalyptic number.

42882 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42882 is an abundant number, since it is smaller than the sum of its proper divisors (55230).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056).

42882 is a wasteful number, since it uses less digits than its factorization.

42882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its digits is 1024, while the sum is 24.

The square root of 42882 is about 207.0796948037. The cubic root of 42882 is about 35.0019046583.

The spelling of 42882 in words is "forty-two thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 1021 2042 3063 6126 7147 14294 21441 42882