48114432 has 72 divisors (see below), whose sum is σ = 142303280. Its totient is φ = 16035840.

The previous prime is 48114427. The next prime is 48114487. The reversal of 48114432 is 23441184.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48114396 and 48114405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432 + ... + 10392.

Almost surely, 2^48114432 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 48114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71151640).

48114432 is an abundant number, since it is smaller than the sum of its proper divisors (94188848).

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

48114432 is an equidigital number, since it uses as much as digits as its factorization.

48114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6966 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 48114432 is about 6936.4567323670. The cubic root of 48114432 is about 363.7126904022.

The spelling of 48114432 in words is "forty-eight million, one hundred fourteen thousand, four hundred thirty-two".