48736512 has 144 divisors (see below), whose sum is σ = 157469760. Its totient is φ = 14745600.

The previous prime is 48736507. The next prime is 48736529. The reversal of 48736512 is 21563784.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48736512² = 4750495203852288, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75712 + ... + 76352.

It is an arithmetic number, because the mean of its divisors is an integer number (1093540).

Almost surely, 2^48736512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78734880).

48736512 is an abundant number, since it is smaller than the sum of its proper divisors (108733248).

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

48736512 is a wasteful number, since it uses less digits than its factorization.

48736512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 657 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48736512 is about 6981.1540593229. The cubic root of 48736512 is about 365.2734849068.

The spelling of 48736512 in words is "forty-eight million, seven hundred thirty-six thousand, five hundred twelve".