30826752 has 144 divisors (see below), whose sum is σ = 92715840. Its totient is φ = 9011200.

The previous prime is 30826751. The next prime is 30826799. The reversal of 30826752 is 25762803.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30826751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346324 + ... + 346412.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 2^30826752 is an apocalyptic number.

30826752 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 30826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46357920).

30826752 is an abundant number, since it is smaller than the sum of its proper divisors (61889088).

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

30826752 is a wasteful number, since it uses less digits than its factorization.

30826752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 30826752 is about 5552.1844349769. The cubic root of 30826752 is about 313.5517696201.

The spelling of 30826752 in words is "thirty million, eight hundred twenty-six thousand, seven hundred fifty-two".