11522048 has 52 divisors (see below), whose sum is σ = 24081540. Its totient is φ = 5505024.

The previous prime is 11522047. The next prime is 11522053. The reversal of 11522048 is 84022511.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 5914624 = 2368^2 + 2432^2 .

It is a super-2 number, since 2×11522048² = 265515180228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118736 + ... + 118832.

Almost surely, 2^11522048 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 11522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040770).

11522048 is an abundant number, since it is smaller than the sum of its proper divisors (12559492).

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

11522048 is an frugal number, since it uses more digits than its factorization.

11522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 11522048 is about 3394.4142351811. The cubic root of 11522048 is about 225.8620297619.

Adding to 11522048 its reverse (84022511), we get a palindrome (95544559).

It can be divided in two parts, 1152 and 2048, that multiplied together give a square (2359296 = 1536²).

The spelling of 11522048 in words is "eleven million, five hundred twenty-two thousand, forty-eight".