48105252 has 120 divisors (see below), whose sum is σ = 138880896. Its totient is φ = 14486688.

The previous prime is 48105251. The next prime is 48105289. The reversal of 48105252 is 25250184.

It is a happy number.

It is a super-3 number, since 3×48105252³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48105251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1023493 + ... + 1023539.

Almost surely, 2^48105252 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 48105252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440448).

48105252 is an abundant number, since it is smaller than the sum of its proper divisors (90775644).

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

48105252 is an equidigital number, since it uses as much as digits as its factorization.

48105252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 48105252 is about 6935.7949796689. The cubic root of 48105252 is about 363.6895573925.

The spelling of 48105252 in words is "forty-eight million, one hundred five thousand, two hundred fifty-two".