42336 has 72 divisors (see below), whose sum is σ = 143640. Its totient is φ = 12096.

The previous prime is 42331. The next prime is 42337. The reversal of 42336 is 63324.

42336 = 15^{3} + 16^{3} + ... + 21^{3}.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (432) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 42336.

It is not an unprimeable number, because it can be changed into a prime (42331) by changing a digit.

42336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6045 + ... + 6051.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

42336 is a Friedman number, since it can be written as 6*(3+3^4)^2, using all its digits and the basic arithmetic operations.

2^{42336} 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 42336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

42336 is an abundant number, since it is smaller than the sum of its proper divisors (101304).

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

42336 is a wasteful number, since it uses less digits than its factorization.

42336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 12 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 42336 is about 205.7571383938. The cubic root of 42336 is about 34.8527144014.

It can be divided in two parts, 42 and 336, that added together give a triangular number (378 = T_{27}).

The spelling of 42336 in words is "forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336

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