49090272 has 192 divisors, whose sum is σ = 166924800. Its totient is φ = 12257280.

The previous prime is 49090253. The next prime is 49090273. The reversal of 49090272 is 27209094.

49090272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49090273) 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 31 ways as a sum of consecutive naturals, for example, 214254 + ... + 214482.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^49090272 is an apocalyptic number.

49090272 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 49090272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

49090272 is an abundant number, since it is smaller than the sum of its proper divisors (117834528).

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

49090272 is a wasteful number, since it uses less digits than its factorization.

49090272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 49090272 is about 7006.4450329679. The cubic root of 49090272 is about 366.1551493673.

The spelling of 49090272 in words is "forty-nine million, ninety thousand, two hundred seventy-two".