48945792 has 128 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 13777920.

The previous prime is 48945781. The next prime is 48945811. The reversal of 48945792 is 29754984.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 352059 + ... + 352197.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^48945792 is an apocalyptic number.

48945792 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 48945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

48945792 is an abundant number, since it is smaller than the sum of its proper divisors (101851008).

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

48945792 is a wasteful number, since it uses less digits than its factorization.

48945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 48945792 is about 6996.1269285227. The cubic root of 48945792 is about 365.7955799561.

The spelling of 48945792 in words is "forty-eight million, nine hundred forty-five thousand, seven hundred ninety-two".