49921248 has 144 divisors (see below), whose sum is σ = 151076016. Its totient is φ = 14376960.

The previous prime is 49921243. The next prime is 49921271. The reversal of 49921248 is 84212994.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (41472) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49921243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275718 + ... + 275898.

It is an arithmetic number, because the mean of its divisors is an integer number (1049139).

Almost surely, 2^49921248 is an apocalyptic number.

49921248 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 49921248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538008).

49921248 is an abundant number, since it is smaller than the sum of its proper divisors (101154768).

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

49921248 is a wasteful number, since it uses less digits than its factorization.

49921248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 49921248 is about 7065.4970101190. The cubic root of 49921248 is about 368.2096316631.

It can be divided in two parts, 4992 and 1248, that multiplied together give a square (6230016 = 2496²).

The spelling of 49921248 in words is "forty-nine million, nine hundred twenty-one thousand, two hundred forty-eight".