48934560 has 96 divisors (see below), whose sum is σ = 155881152. Its totient is φ = 12902400.

The previous prime is 48934553. The next prime is 48934573. The reversal of 48934560 is 6543984.

48934560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 46035 + ... + 47085.

It is an arithmetic number, because the mean of its divisors is an integer number (1623762).

Almost surely, 2^48934560 is an apocalyptic number.

48934560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77940576).

48934560 is an abundant number, since it is smaller than the sum of its proper divisors (106946592).

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

48934560 is a wasteful number, since it uses less digits than its factorization.

48934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 48934560 is about 6995.3241526037. The cubic root of 48934560 is about 365.7675970925.

It can be divided in two parts, 48934 and 560, that added together give a palindrome (49494).

The spelling of 48934560 in words is "forty-eight million, nine hundred thirty-four thousand, five hundred sixty".