48261024 has 144 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 13395456.

The previous prime is 48261023. The next prime is 48261029. The reversal of 48261024 is 42016284.

48261024 is a `hidden beast` number, since 48 + 2 + 610 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48261023) 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, 74269 + ... + 74915.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^48261024 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 48261024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

48261024 is an abundant number, since it is smaller than the sum of its proper divisors (113075424).

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

48261024 is a wasteful number, since it uses less digits than its factorization.

48261024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48261024 is about 6947.0154742882. The cubic root of 48261024 is about 364.0816948220.

The spelling of 48261024 in words is "forty-eight million, two hundred sixty-one thousand, twenty-four".