48362616 has 128 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 15240960.

The previous prime is 48362599. The next prime is 48362623. The reversal of 48362616 is 61626384.

48362616 is a `hidden beast` number, since 4 + 8 + 36 + 2 + 616 = 666.

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

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

Its product of digits (41472) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380745 + ... + 380871.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^48362616 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 48362616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

48362616 is an abundant number, since it is smaller than the sum of its proper divisors (93563784).

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

48362616 is a wasteful number, since it uses less digits than its factorization.

48362616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48362616 is about 6954.3235472618. The cubic root of 48362616 is about 364.3369861595.

The spelling of 48362616 in words is "forty-eight million, three hundred sixty-two thousand, six hundred sixteen".