48078096 has 160 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 13432320.

The previous prime is 48078089. The next prime is 48078103. The reversal of 48078096 is 69087084.

It is a happy number.

48078096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48078089) and next prime (48078103).

It is a super-3 number, since 3×48078096³ (a number of 24 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 449275 + ... + 449381.

Almost surely, 2^48078096 is an apocalyptic number.

48078096 is a gapful number since it is divisible by the number (46) 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 48078096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

48078096 is an abundant number, since it is smaller than the sum of its proper divisors (98483952).

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

48078096 is a wasteful number, since it uses less digits than its factorization.

48078096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 48078096 is about 6933.8370329854. The cubic root of 48078096 is about 363.6211087843.

The spelling of 48078096 in words is "forty-eight million, seventy-eight thousand, ninety-six".