48937824 has 96 divisors (see below), whose sum is σ = 153750240. Its totient is φ = 15054336.

The previous prime is 48937817. The next prime is 48937831. The reversal of 48937824 is 42873984.

It is an interprime number because it is at equal distance from previous prime (48937817) and next prime (48937831).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48937824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054 + ... + 13410.

It is an arithmetic number, because the mean of its divisors is an integer number (1601565).

Almost surely, 2^48937824 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 48937824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76875120).

48937824 is an abundant number, since it is smaller than the sum of its proper divisors (104812416).

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

48937824 is a wasteful number, since it uses less digits than its factorization.

48937824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4375 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48937824 is about 6995.5574474090. The cubic root of 48937824 is about 365.7757293061.

The spelling of 48937824 in words is "forty-eight million, nine hundred thirty-seven thousand, eight hundred twenty-four".