30524832 has 144 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 9054720.

The previous prime is 30524821. The next prime is 30524839. The reversal of 30524832 is 23842503.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 30524796 and 30524805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30524839) by changing a digit.

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, 115933 + ... + 116195.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 2^30524832 is an apocalyptic number.

30524832 is a gapful number since it is divisible by the number (32) 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 30524832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

30524832 is an abundant number, since it is smaller than the sum of its proper divisors (66339936).

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

30524832 is a wasteful number, since it uses less digits than its factorization.

30524832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30524832 is about 5524.9282348280. The cubic root of 30524832 is about 312.5247579318.

The spelling of 30524832 in words is "thirty million, five hundred twenty-four thousand, eight hundred thirty-two".