4585152 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1274880.

The previous prime is 4585129. The next prime is 4585183. The reversal of 4585152 is 2515854.

It is a d-powerful number, because it can be written as 4³ + 5² + 8 + 5³ + 1 + 5⁸ + 2²² .

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 15 ways as a sum of consecutive naturals, for example, 27373 + ... + 27539.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^4585152 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 4585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4585152 is an abundant number, since it is smaller than the sum of its proper divisors (9752640).

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

4585152 is a wasteful number, since it uses less digits than its factorization.

4585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 4585152 is about 2141.2968033414. The cubic root of 4585152 is about 166.1312167134.

The spelling of 4585152 in words is "four million, five hundred eighty-five thousand, one hundred fifty-two".