48096048 has 270 divisors, whose sum is σ = 172028052. Its totient is φ = 11531520.

The previous prime is 48096031. The next prime is 48096071. The reversal of 48096048 is 84069084.

It is a super-3 number, since 3×48096048³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 48095997 and 48096015.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3699690 + ... + 3699702.

Almost surely, 2^48096048 is an apocalyptic number.

48096048 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 48096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86014026).

48096048 is an abundant number, since it is smaller than the sum of its proper divisors (123932004).

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

48096048 is a wasteful number, since it uses less digits than its factorization.

48096048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 48096048 is about 6935.1314335058. The cubic root of 48096048 is about 363.6663609496. Note that the first 3 decimals are identical.

The spelling of 48096048 in words is "forty-eight million, ninety-six thousand, forty-eight".