4002642 has 32 divisors (see below), whose sum is σ = 10166400. Its totient is φ = 1143504.

The previous prime is 4002641. The next prime is 4002643. The reversal of 4002642 is 2462004.

4002642 is a `hidden beast` number, since 400 + 264 + 2 = 666.

4002642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4002641) and next prime (4002643).

It is a super-2 number, since 2×4002642² = 32042285960328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4917 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (317700).

Almost surely, 2^4002642 is an apocalyptic number.

4002642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4002642 is an abundant number, since it is smaller than the sum of its proper divisors (6163758).

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

4002642 is a wasteful number, since it uses less digits than its factorization.

4002642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4002642 is about 2000.6603909709. The cubic root of 4002642 is about 158.7750467848.

Adding to 4002642 its reverse (2462004), we get a palindrome (6464646).

The spelling of 4002642 in words is "four million, two thousand, six hundred forty-two".