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42168 = 2337251
BaseRepresentation
bin1010010010111000
32010211210
422102320
52322133
6523120
7233640
oct122270
963753
1042168
1129755
12204a0
1316269
1411520
15c763
hexa4b8

42168 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 12000.

The previous prime is 42157. The next prime is 42169. The reversal of 42168 is 86124.

Subtracting 42168 from its reverse (86124), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 4216 and 8, that added together give a palindrome (4224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169) by changing a digit.

42168 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, 43 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

242168 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 42168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

42168 is an abundant number, since it is smaller than the sum of its proper divisors (78792).

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

42168 is a wasteful number, since it uses less digits than its factorization.

42168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 42168 is about 205.3484842895. The cubic root of 42168 is about 34.8065518117.

The spelling of 42168 in words is "forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 3012 3514 5271 6024 7028 10542 14056 21084 42168