7933952 has 52 divisors (see below), whose sum is σ = 17201100. Its totient is φ = 3637248.

The previous prime is 7933927. The next prime is 7933957. The reversal of 7933952 is 2593397.

7933952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1048576 + 6885376 = 1024^2 + 2624^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is not an unprimeable number, because it can be changed into a prime (7933957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53174 + ... + 53322.

Almost surely, 2^7933952 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 7933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600550).

7933952 is an abundant number, since it is smaller than the sum of its proper divisors (9267148).

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

7933952 is a wasteful number, since it uses less digits than its factorization.

7933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its digits is 51030, while the sum is 38.

The square root of 7933952 is about 2816.7271788372. The cubic root of 7933952 is about 199.4480783133.

It can be divided in two parts, 793395 and 2, that added together give a palindrome (793397).

The spelling of 7933952 in words is "seven million, nine hundred thirty-three thousand, nine hundred fifty-two".