39933952 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 17694720.

The previous prime is 39933919. The next prime is 39933977. The reversal of 39933952 is 25933993.

It is a junction number, because it is equal to n+sod(n) for n = 39933899 and 39933908.

It is a congruent number.

It is an unprimeable number.

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, 1079278 + ... + 1079314.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^39933952 is an apocalyptic number.

39933952 is a gapful number since it is divisible by the number (32) 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 39933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

39933952 is an abundant number, since it is smaller than the sum of its proper divisors (49697408).

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

39933952 is a wasteful number, since it uses less digits than its factorization.

39933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its digits is 196830, while the sum is 43.

The square root of 39933952 is about 6319.3316102259. The cubic root of 39933952 is about 341.8068514839.

The spelling of 39933952 in words is "thirty-nine million, nine hundred thirty-three thousand, nine hundred fifty-two".