30724848 has 240 divisors, whose sum is σ = 114206976. Its totient is φ = 7464960.

The previous prime is 30724829. The next prime is 30724861. The reversal of 30724848 is 84842703.

30724848 = 162² + 163² + ... + 458².

It is a Cunningham number, because it is equal to 5543²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

30724848 is a modest number, since divided by 4848 gives 3072 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188415 + ... + 188577.

Almost surely, 2^30724848 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 30724848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57103488).

30724848 is an abundant number, since it is smaller than the sum of its proper divisors (83482128).

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

30724848 is a wasteful number, since it uses less digits than its factorization.

30724848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 30724848 is about 5542.9999097961. Note that the first 4 decimals coincide. The cubic root of 30724848 is about 313.2058854949.

The spelling of 30724848 in words is "thirty million, seven hundred twenty-four thousand, eight hundred forty-eight".