48952512 has 280 divisors, whose sum is σ = 177027840. Its totient is φ = 13063680.

The previous prime is 48952507. The next prime is 48952567. The reversal of 48952512 is 21525984.

48952512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48952512² = 4792696862220288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 689437 + ... + 689507.

Almost surely, 2^48952512 is an apocalyptic number.

48952512 is a gapful number since it is divisible by the number (42) 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 48952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

48952512 is an abundant number, since it is smaller than the sum of its proper divisors (128075328).

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

48952512 is a wasteful number, since it uses less digits than its factorization.

48952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 48952512 is about 6996.6071777684. The cubic root of 48952512 is about 365.8123197936.

The spelling of 48952512 in words is "forty-eight million, nine hundred fifty-two thousand, five hundred twelve".