48951936 has 96 divisors (see below), whose sum is σ = 153709920. Its totient is φ = 14830080.

The previous prime is 48951911. The next prime is 48951937. The reversal of 48951936 is 63915984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 48951891 and 48951900.

It is not an unprimeable number, because it can be changed into a prime (48951937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10741 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (1601145).

Almost surely, 2^48951936 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 48951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76854960).

48951936 is an abundant number, since it is smaller than the sum of its proper divisors (104757984).

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

48951936 is a wasteful number, since it uses less digits than its factorization.

48951936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3879 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 48951936 is about 6996.5660148390. The cubic root of 48951936 is about 365.8108850104.

It can be divided in two parts, 489519 and 36, that added together give a triangular number (489555 = T₉₈₉).

The spelling of 48951936 in words is "forty-eight million, nine hundred fifty-one thousand, nine hundred thirty-six".