11257248 has 48 divisors (see below), whose sum is σ = 29786400. Its totient is φ = 3722496.

The previous prime is 11257243. The next prime is 11257313. The reversal of 11257248 is 84275211.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11257241) 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, 13911 + ... + 14697.

It is an arithmetic number, because the mean of its divisors is an integer number (620550).

Almost surely, 2^11257248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893200).

11257248 is an abundant number, since it is smaller than the sum of its proper divisors (18529152).

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

11257248 is a wasteful number, since it uses less digits than its factorization.

11257248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 11257248 is about 3355.1822603251. The cubic root of 11257248 is about 224.1183473257.

The spelling of 11257248 in words is "eleven million, two hundred fifty-seven thousand, two hundred forty-eight".