49248 has 60 divisors (see below), whose sum is σ = 152460. Its totient is φ = 15552.

The previous prime is 49223. The next prime is 49253. The reversal of 49248 is 84294.

It is a super-3 number, since 3×49248³ = 358333201022976, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (2304) is a multiple of the sum of its prime divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

49248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2583 + ... + 2601.

It is an arithmetic number, because the mean of its divisors is an integer number (2541).

2⁴⁹²⁴⁸ is an apocalyptic number.

49248 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 49248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76230).

49248 is an abundant number, since it is smaller than the sum of its proper divisors (103212).

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

49248 is a wasteful number, since it uses less digits than its factorization.

49248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 24 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 49248 is about 221.9189041069. The cubic root of 49248 is about 36.6546884657.

The spelling of 49248 in words is "forty-nine thousand, two hundred forty-eight".