49523040 has 288 divisors, whose sum is σ = 205208640. Its totient is φ = 10653696.

The previous prime is 49523021. The next prime is 49523051. The reversal of 49523040 is 4032594.

49523040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 49522995 and 49523013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2913112 + ... + 2913128.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 2^49523040 is an apocalyptic number.

49523040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

49523040 is an abundant number, since it is smaller than the sum of its proper divisors (155685600).

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

49523040 is a wasteful number, since it uses less digits than its factorization.

49523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 49523040 is about 7037.2608307494. The cubic root of 49523040 is about 367.2279814068.

The spelling of 49523040 in words is "forty-nine million, five hundred twenty-three thousand, forty".