48729096 has 96 divisors (see below), whose sum is σ = 144144000. Its totient is φ = 14781312.

The previous prime is 48729073. The next prime is 48729133. The reversal of 48729096 is 69092784.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 73615 + ... + 74273.

It is an arithmetic number, because the mean of its divisors is an integer number (1501500).

Almost surely, 2^48729096 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 48729096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072000).

48729096 is an abundant number, since it is smaller than the sum of its proper divisors (95414904).

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

48729096 is a wasteful number, since it uses less digits than its factorization.

48729096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 48729096 is about 6980.6228948426. The cubic root of 48729096 is about 365.2549566654.

The spelling of 48729096 in words is "forty-eight million, seven hundred twenty-nine thousand, ninety-six".