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11448064 = 28197227
BaseRepresentation
bin101011101010…
…111100000000
3210112121210101
4223222330000
510412314224
61045212144
7166210165
oct53527400
923477711
1011448064
11650a111
123a01054
1324aaa04
14174006c
151012044
hexaeaf00

11448064 has 36 divisors (see below), whose sum is σ = 23068584. Its totient is φ = 5669888.

The previous prime is 11448049. The next prime is 11448071. The reversal of 11448064 is 46084411.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50319 + ... + 50545.

It is an arithmetic number, because the mean of its divisors is an integer number (640794).

Almost surely, 211448064 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 11448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534292).

11448064 is an abundant number, since it is smaller than the sum of its proper divisors (11620520).

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

11448064 is an equidigital number, since it uses as much as digits as its factorization.

11448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 11448064 is about 3383.4987808480. The cubic root of 11448064 is about 225.3775652425.

The spelling of 11448064 in words is "eleven million, four hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 197 227 256 394 454 788 908 1576 1816 3152 3632 6304 7264 12608 14528 25216 29056 44719 50432 58112 89438 178876 357752 715504 1431008 2862016 5724032 11448064