4193152 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 1884160.

The previous prime is 4193149. The next prime is 4193171. The reversal of 4193152 is 2513914.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89193 + ... + 89239.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^4193152 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 4193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

4193152 is an abundant number, since it is smaller than the sum of its proper divisors (5060288).

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

4193152 is a wasteful number, since it uses less digits than its factorization.

4193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 4193152 is about 2047.7187306854. The cubic root of 4193152 is about 161.2551283348.

The spelling of 4193152 in words is "four million, one hundred ninety-three thousand, one hundred fifty-two".