49288500 has 120 divisors (see below), whose sum is σ = 160936776. Its totient is φ = 13132800.

The previous prime is 49288439. The next prime is 49288511. The reversal of 49288500 is 588294.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 45077796 = 2052^2 + 6714^2 .

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 39 ways as a sum of consecutive naturals, for example, 39892 + ... + 41108.

Almost surely, 2^49288500 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 49288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80468388).

49288500 is an abundant number, since it is smaller than the sum of its proper divisors (111648276).

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

49288500 is a wasteful number, since it uses less digits than its factorization.

49288500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 49288500 is about 7020.5768993723. The cubic root of 49288500 is about 366.6473359873.

The spelling of 49288500 in words is "forty-nine million, two hundred eighty-eight thousand, five hundred".