48585312 has 96 divisors (see below), whose sum is σ = 144516960. Its totient is φ = 15874560.

The previous prime is 48585311. The next prime is 48585319. The reversal of 48585312 is 21358584.

It is a happy number.

48585312 is a `hidden beast` number, since 48 + 585 + 31 + 2 = 666.

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

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 (48585311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45262 + ... + 46322.

It is an arithmetic number, because the mean of its divisors is an integer number (1505385).

Almost surely, 2^48585312 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 48585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72258480).

48585312 is an abundant number, since it is smaller than the sum of its proper divisors (95931648).

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

48585312 is a wasteful number, since it uses less digits than its factorization.

48585312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 48585312 is about 6970.3164920970. The cubic root of 48585312 is about 364.8953524981.

The spelling of 48585312 in words is "forty-eight million, five hundred eighty-five thousand, three hundred twelve".