48726624 has 96 divisors (see below), whose sum is σ = 137622240. Its totient is φ = 15040512.

The previous prime is 48726593. The next prime is 48726631. The reversal of 48726624 is 42662784.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (129024) is a multiple of the sum of its prime divisors (504).

It is a zygodrome in base 5.

It is a congruent number.

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, 118932 + ... + 119340.

It is an arithmetic number, because the mean of its divisors is an integer number (1433565).

Almost surely, 2^48726624 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 48726624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68811120).

48726624 is an abundant number, since it is smaller than the sum of its proper divisors (88895616).

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

48726624 is a wasteful number, since it uses less digits than its factorization.

48726624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 48726624 is about 6980.4458310340. The cubic root of 48726624 is about 365.2487801672.

The spelling of 48726624 in words is "forty-eight million, seven hundred twenty-six thousand, six hundred twenty-four".