4807152 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1296000.

The previous prime is 4807147. The next prime is 4807169. The reversal of 4807152 is 2517084.

It is a super-3 number, since 3×4807152³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19027 + ... + 19277.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^4807152 is an apocalyptic number.

4807152 is a gapful number since it is divisible by the number (42) 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 4807152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4807152 is an abundant number, since it is smaller than the sum of its proper divisors (11441808).

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

4807152 is a wasteful number, since it uses less digits than its factorization.

4807152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4807152 is about 2192.5218356951. The cubic root of 4807152 is about 168.7702724616.

The spelling of 4807152 in words is "four million, eight hundred seven thousand, one hundred fifty-two".