4193952 has 72 divisors (see below), whose sum is σ = 12743136. Its totient is φ = 1183104.

The previous prime is 4193939. The next prime is 4193957. The reversal of 4193952 is 2593914.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4193957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53049 + ... + 53127.

It is an arithmetic number, because the mean of its divisors is an integer number (176988).

Almost surely, 2^4193952 is an apocalyptic number.

4193952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4193952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371568).

4193952 is an abundant number, since it is smaller than the sum of its proper divisors (8549184).

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

4193952 is an equidigital number, since it uses as much as digits as its factorization.

4193952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 91 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 4193952 is about 2047.9140606969. The cubic root of 4193952 is about 161.2653828243.

It can be divided in two parts, 419 and 3952, that added together give a triangular number (4371 = T₉₃).

The spelling of 4193952 in words is "four million, one hundred ninety-three thousand, nine hundred fifty-two".