4002048 has 90 divisors (see below), whose sum is σ = 11995214. Its totient is φ = 1327104.

The previous prime is 4002043. The next prime is 4002049. The reversal of 4002048 is 8402004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 1016064 = 1728^2 + 1008^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4002048.

It is not an unprimeable number, because it can be changed into a prime (4002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20640 + ... + 20832.

Almost surely, 2^4002048 is an apocalyptic number.

4002048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997607).

4002048 is an abundant number, since it is smaller than the sum of its proper divisors (7993166).

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

4002048 is an equidigital number, since it uses as much as digits as its factorization.

4002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002048 is about 2000.5119344808. The cubic root of 4002048 is about 158.7671922191.

The spelling of 4002048 in words is "four million, two thousand, forty-eight".