48913488 has 240 divisors, whose sum is σ = 164520720. Its totient is φ = 13418496.

The previous prime is 48913481. The next prime is 48913493. The reversal of 48913488 is 88431984.

It can be written as a sum of positive squares in 8 ways, for example, as 304704 + 48608784 = 552^2 + 6972^2 .

It is a super-2 number, since 2×48913488² = 4785058616652288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48913481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922870 + ... + 922922.

It is an arithmetic number, because the mean of its divisors is an integer number (685503).

Almost surely, 2^48913488 is an apocalyptic number.

48913488 is a gapful number since it is divisible by the number (48) 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 48913488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

48913488 is an abundant number, since it is smaller than the sum of its proper divisors (115607232).

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

48913488 is a wasteful number, since it uses less digits than its factorization.

48913488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 48913488 is about 6993.8178414940. The cubic root of 48913488 is about 365.7150877726.

The spelling of 48913488 in words is "forty-eight million, nine hundred thirteen thousand, four hundred eighty-eight".