48365820 has 72 divisors (see below), whose sum is σ = 149857344. Its totient is φ = 12620928.

The previous prime is 48365767. The next prime is 48365851. The reversal of 48365820 is 2856384.

48365820 is a `hidden beast` number, since 48 + 36 + 582 + 0 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5602 + ... + 11318.

It is an arithmetic number, because the mean of its divisors is an integer number (2081352).

Almost surely, 2^48365820 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 48365820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74928672).

48365820 is an abundant number, since it is smaller than the sum of its proper divisors (101491524).

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

48365820 is a wasteful number, since it uses less digits than its factorization.

48365820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48365820 is about 6954.5539037382. The cubic root of 48365820 is about 364.3450316984.

The spelling of 48365820 in words is "forty-eight million, three hundred sixty-five thousand, eight hundred twenty".