49957248 has 64 divisors (see below), whose sum is σ = 144774720. Its totient is φ = 15137280.

The previous prime is 49957241. The next prime is 49957253. The reversal of 49957248 is 84275994.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 49957197 and 49957206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49957241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1690 + ... + 10137.

It is an arithmetic number, because the mean of its divisors is an integer number (2262105).

Almost surely, 2^49957248 is an apocalyptic number.

49957248 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 49957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72387360).

49957248 is an abundant number, since it is smaller than the sum of its proper divisors (94817472).

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

49957248 is a wasteful number, since it uses less digits than its factorization.

49957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11855 (or 11843 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 49957248 is about 7068.0441424768. The cubic root of 49957248 is about 368.2981201137.

It can be divided in two parts, 49957 and 248, that added together give a palindrome (50205).

The spelling of 49957248 in words is "forty-nine million, nine hundred fifty-seven thousand, two hundred forty-eight".