4032 has 42 divisors (see below), whose sum is σ = 13208. Its totient is φ = 1152.

The previous prime is 4027. The next prime is 4049. The reversal of 4032 is 2304.

4032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (42).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2, base 4 and base 8.

It is a congruent number.

It is an unprimeable number.

4032 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 5 ways as a sum of consecutive naturals, for example, 573 + ... + 579.

4032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 63×64.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604).

4032 is an abundant number, since it is smaller than the sum of its proper divisors (9176).

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

4032 is a wasteful number, since it uses less digits than its factorization.

4032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4032 is about 63.4980314656. The cubic root of 4032 is about 15.9162288316.

Adding to 4032 its reverse (2304), we get a palindrome (6336).

Subtracting from 4032 its reverse (2304), we obtain a cube (1728 = 12^{3}).

The spelling of 4032 in words is "four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032

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