39652048 has 40 divisors (see below), whose sum is σ = 80385480. Its totient is φ = 18923520.

The previous prime is 39652033. The next prime is 39652051. The reversal of 39652048 is 84025693.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 38044224 = 1268^2 + 6168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39651998 and 39652016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44568 + ... + 45448.

It is an arithmetic number, because the mean of its divisors is an integer number (2009637).

Almost surely, 2^39652048 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 39652048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40192740).

39652048 is an abundant number, since it is smaller than the sum of its proper divisors (40733432).

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

39652048 is a wasteful number, since it uses less digits than its factorization.

39652048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 39652048 is about 6296.9872161217. The cubic root of 39652048 is about 341.0006507213. Note that the first 3 decimals are identical.

The spelling of 39652048 in words is "thirty-nine million, six hundred fifty-two thousand, forty-eight".