48015648 has 72 divisors (see below), whose sum is σ = 141277500. Its totient is φ = 15450624.

The previous prime is 48015637. The next prime is 48015659. The reversal of 48015648 is 84651084.

48015648 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 5 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (48015637) and next prime (48015659).

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 4613904 = 6588^2 + 2148^2 .

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

It is a super-3 number, since 3×48015648³ (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 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 11 ways as a sum of consecutive naturals, for example, 5478 + ... + 11226.

Almost surely, 2^48015648 is an apocalyptic number.

48015648 is a gapful number since it is divisible by the number (48) 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 48015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70638750).

48015648 is an abundant number, since it is smaller than the sum of its proper divisors (93261852).

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

48015648 is a wasteful number, since it uses less digits than its factorization.

48015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48015648 is about 6929.3324353793. The cubic root of 48015648 is about 363.4636063633.

The spelling of 48015648 in words is "forty-eight million, fifteen thousand, six hundred forty-eight".