49942872 has 256 divisors, whose sum is σ = 176256000. Its totient is φ = 12773376.

The previous prime is 49942847. The next prime is 49942883. The reversal of 49942872 is 27824994.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745383 + ... + 745449.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^49942872 is an apocalyptic number.

49942872 is a gapful number since it is divisible by the number (42) 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 49942872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

49942872 is an abundant number, since it is smaller than the sum of its proper divisors (126313128).

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

49942872 is a wasteful number, since it uses less digits than its factorization.

49942872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

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

The square root of 49942872 is about 7067.0270977265. The cubic root of 49942872 is about 368.2627888259.

It can be divided in two parts, 499428 and 72, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 49942872 in words is "forty-nine million, nine hundred forty-two thousand, eight hundred seventy-two".