30613248 has 144 divisors (see below), whose sum is σ = 93533440. Its totient is φ = 9870336.

The previous prime is 30613159. The next prime is 30613249. The reversal of 30613248 is 84231603.

It is a happy number.

30613248 is a `hidden beast` number, since 3 + 0 + 613 + 2 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30613249) 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 15 ways as a sum of consecutive naturals, for example, 297165 + ... + 297267.

Almost surely, 2^30613248 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 30613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46766720).

30613248 is an abundant number, since it is smaller than the sum of its proper divisors (62920192).

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

30613248 is a wasteful number, since it uses less digits than its factorization.

30613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30613248 is about 5532.9240009239. The cubic root of 30613248 is about 312.8262125281.

It can be divided in two parts, 30 and 613248, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 30613248 in words is "thirty million, six hundred thirteen thousand, two hundred forty-eight".