52148096 has 192 divisors, whose sum is σ = 144342240. Its totient is φ = 18247680.

The previous prime is 52148093. The next prime is 52148099. The reversal of 52148096 is 69084125.

52148096 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 (52148093) and next prime (52148099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52148093) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1409390 + ... + 1409426.

Almost surely, 2^52148096 is an apocalyptic number.

52148096 is a gapful number since it is divisible by the number (56) 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 52148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72171120).

52148096 is an abundant number, since it is smaller than the sum of its proper divisors (92194144).

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

52148096 is a wasteful number, since it uses less digits than its factorization.

52148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 52148096 is about 7221.3638601029. The cubic root of 52148096 is about 373.6051195523.

The spelling of 52148096 in words is "fifty-two million, one hundred forty-eight thousand, ninety-six".