49737888 has 120 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 16018560.

The previous prime is 49737887. The next prime is 49737889. The reversal of 49737888 is 88873794.

49737888 is a `hidden beast` number, since 497 + 3 + 78 + 88 = 666.

49737888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49737887) and next prime (49737889).

It is a super-3 number, since 3×49737888³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2709504) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (49737881) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 80043 + ... + 80661.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^49737888 is an apocalyptic number.

49737888 is a gapful number since it is divisible by the number (48) 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 49737888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

49737888 is an abundant number, since it is smaller than the sum of its proper divisors (101502432).

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

49737888 is a wasteful number, since it uses less digits than its factorization.

49737888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 655 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 49737888 is about 7052.5093406532. The cubic root of 49737888 is about 367.7582690985.

It can be divided in two parts, 49737 and 888, that added together give a 4-th power (50625 = 15⁴).

The spelling of 49737888 in words is "forty-nine million, seven hundred thirty-seven thousand, eight hundred eighty-eight".