41952 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 12672.

The previous prime is 41947. The next prime is 41953. The reversal of 41952 is 25914.

41952 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (48).

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 41952.

It is not an unprimeable number, because it can be changed into a prime (41953) 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 7 ways as a sum of consecutive naturals, for example, 1813 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁴¹⁹⁵² 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 41952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

41952 is an abundant number, since it is smaller than the sum of its proper divisors (79008).

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

41952 is a wasteful number, since it uses less digits than its factorization.

41952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 41952 is about 204.8218738319. The cubic root of 41952 is about 34.7470193948.

The spelling of 41952 in words is "forty-one thousand, nine hundred fifty-two".