49981152 has 96 divisors (see below), whose sum is σ = 146270880. Its totient is φ = 14837760.

The previous prime is 49981111. The next prime is 49981171. The reversal of 49981152 is 25118994.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49981152.

It is a congruent number.

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, 35502 + ... + 36882.

It is an arithmetic number, because the mean of its divisors is an integer number (1523655).

Almost surely, 2^49981152 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 49981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73135440).

49981152 is an abundant number, since it is smaller than the sum of its proper divisors (96289728).

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

49981152 is a wasteful number, since it uses less digits than its factorization.

49981152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 49981152 is about 7069.7349313818. The cubic root of 49981152 is about 368.3568529624.

The spelling of 49981152 in words is "forty-nine million, nine hundred eighty-one thousand, one hundred fifty-two".