4002152 has 64 divisors (see below), whose sum is σ = 9590400. Its totient is φ = 1520640.

The previous prime is 4002143. The next prime is 4002169. The reversal of 4002152 is 2512004.

It is a super-2 number, since 2×4002152² = 32034441262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44924 + ... + 45012.

It is an arithmetic number, because the mean of its divisors is an integer number (149850).

Almost surely, 2^4002152 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 4002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795200).

4002152 is an abundant number, since it is smaller than the sum of its proper divisors (5588248).

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

4002152 is a wasteful number, since it uses less digits than its factorization.

4002152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4002152 is about 2000.5379276585. The cubic root of 4002152 is about 158.7685674854.

Adding to 4002152 its reverse (2512004), we get a palindrome (6514156).

It can be divided in two parts, 400 and 2152, that added together give a palindrome (2552).

The spelling of 4002152 in words is "four million, two thousand, one hundred fifty-two".