48953856 has 160 divisors (see below), whose sum is σ = 155168640. Its totient is φ = 13418496.

The previous prime is 48953831. The next prime is 48953869. The reversal of 48953856 is 65835984.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311730 + ... + 311886.

It is an arithmetic number, because the mean of its divisors is an integer number (969804).

Almost surely, 2^48953856 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 48953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77584320).

48953856 is an abundant number, since it is smaller than the sum of its proper divisors (106214784).

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

48953856 is a wasteful number, since it uses less digits than its factorization.

48953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 48953856 is about 6996.7032236618. The cubic root of 48953856 is about 365.8156675772.

It can be divided in two parts, 489 and 53856, that added together give a palindrome (54345).

The spelling of 48953856 in words is "forty-eight million, nine hundred fifty-three thousand, eight hundred fifty-six".