49429872 has 80 divisors (see below), whose sum is σ = 146498560. Its totient is φ = 15940800.

The previous prime is 49429871. The next prime is 49429883. The reversal of 49429872 is 27892494.

49429872 is a `hidden beast` number, since 494 + 2 + 98 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49429871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11547 + ... + 15237.

It is an arithmetic number, because the mean of its divisors is an integer number (1831232).

Almost surely, 2^49429872 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 49429872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73249280).

49429872 is an abundant number, since it is smaller than the sum of its proper divisors (97068688).

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

49429872 is a wasteful number, since it uses less digits than its factorization.

49429872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3727 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49429872 is about 7030.6380933739. The cubic root of 49429872 is about 366.9975474200.

The spelling of 49429872 in words is "forty-nine million, four hundred twenty-nine thousand, eight hundred seventy-two".