30002048 has 32 divisors (see below), whose sum is σ = 61705920. Its totient is φ = 14515200.

The previous prime is 30002047. The next prime is 30002069. The reversal of 30002048 is 84020003.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002047) 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 3 ways as a sum of consecutive naturals, for example, 188 + ... + 7748.

It is an arithmetic number, because the mean of its divisors is an integer number (1928310).

Almost surely, 2^30002048 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 30002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30852960).

30002048 is an abundant number, since it is smaller than the sum of its proper divisors (31703872).

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

30002048 is an equidigital number, since it uses as much as digits as its factorization.

30002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 30002048 is about 5477.4125278273. The cubic root of 30002048 is about 310.7303211147.

The spelling of 30002048 in words is "thirty million, two thousand, forty-eight".