48961024 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 19851264.

The previous prime is 48961021. The next prime is 48961039. The reversal of 48961024 is 42016984.

It is a super-2 number, since 2×48961024² = 4794363742257152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48961021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67737 + ... + 68455.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^48961024 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 48961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

48961024 is an abundant number, since it is smaller than the sum of its proper divisors (68888576).

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

48961024 is an equidigital number, since it uses as much as digits as its factorization.

48961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 48961024 is about 6997.2154461614. The cubic root of 48961024 is about 365.8335213886.

The spelling of 48961024 in words is "forty-eight million, nine hundred sixty-one thousand, twenty-four".