39826242 has 72 divisors (see below), whose sum is σ = 94859856. Its totient is φ = 12521304.

The previous prime is 39826217. The next prime is 39826253. The reversal of 39826242 is 24262893.

39826242 is a `hidden beast` number, since 398 + 26 + 242 = 666.

It is a super-2 number, since 2×39826242² = 3172259103685128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39826197 and 39826206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175333 + ... + 175559.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^39826242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39826242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429928).

39826242 is an abundant number, since it is smaller than the sum of its proper divisors (55033614).

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

39826242 is a wasteful number, since it uses less digits than its factorization.

39826242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 39826242 is about 6310.8035938381. The cubic root of 39826242 is about 341.4992672194.

It can be divided in two parts, 39 and 826242, that added together give a square (826281 = 909²).

The spelling of 39826242 in words is "thirty-nine million, eight hundred twenty-six thousand, two hundred forty-two".