48105792 has 224 divisors, whose sum is σ = 167274240. Its totient is φ = 13271040.

The previous prime is 48105779. The next prime is 48105793. The reversal of 48105792 is 29750184.

48105792 is a `hidden beast` number, since 4 + 81 + 0 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×48105792³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48105793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495888 + ... + 495984.

It is an arithmetic number, because the mean of its divisors is an integer number (746760).

Almost surely, 2^48105792 is an apocalyptic number.

48105792 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 48105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83637120).

48105792 is an abundant number, since it is smaller than the sum of its proper divisors (119168448).

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

48105792 is a wasteful number, since it uses less digits than its factorization.

48105792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48105792 is about 6935.8339080460. The cubic root of 48105792 is about 363.6909182393.

The spelling of 48105792 in words is "forty-eight million, one hundred five thousand, seven hundred ninety-two".