4682752 has 44 divisors (see below), whose sum is σ = 9948420. Its totient is φ = 2195456.

The previous prime is 4682737. The next prime is 4682753. The reversal of 4682752 is 2572864.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 2876416 = 1344^2 + 1696^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4 + 6⁸ + 8² + 2¹⁰ + 7³ + 5⁹ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17274 + ... + 17542.

Almost surely, 2^4682752 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 4682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974210).

4682752 is an abundant number, since it is smaller than the sum of its proper divisors (5265668).

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

4682752 is a wasteful number, since it uses less digits than its factorization.

4682752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 4682752 is about 2163.9667280252. The cubic root of 4682752 is about 167.3017123398.

The spelling of 4682752 in words is "four million, six hundred eighty-two thousand, seven hundred fifty-two".