4017952 has 24 divisors (see below), whose sum is σ = 7958412. Its totient is φ = 1996800.

The previous prime is 4017931. The next prime is 4017977. The reversal of 4017952 is 2597104.

It is a happy number.

4017952 is digitally balanced in base 2, 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 4016016 + 1936 = 2004^2 + 44^2 .

It is a super-2 number, since 2×4017952² = 32287876548608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4017952.

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 3 ways as a sum of consecutive naturals, for example, 7452 + ... + 7972.

Almost surely, 2^4017952 is an apocalyptic number.

It is an amenable number.

4017952 is a deficient number, since it is larger than the sum of its proper divisors (3940460).

4017952 is a wasteful number, since it uses less digits than its factorization.

4017952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 4017952 is about 2004.4829757321. The cubic root of 4017952 is about 158.9772260144.

The spelling of 4017952 in words is "four million, seventeen thousand, nine hundred fifty-two".