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11468288 = 29131723
BaseRepresentation
bin101011101111…
…111000000000
3210120122112102
4223233320000
510413441123
61045445532
7166323146
oct53577000
923518472
1011468288
116523327
123a108a8
1324b6c90
141747596
151018028
hexaefe00

11468288 has 40 divisors (see below), whose sum is σ = 24691128. Its totient is φ = 5289984.

The previous prime is 11468269. The next prime is 11468293. The reversal of 11468288 is 88286411.

11468288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5795 + ... + 7517.

Almost surely, 211468288 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 11468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345564).

11468288 is an abundant number, since it is smaller than the sum of its proper divisors (13222840).

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

11468288 is an equidigital number, since it uses as much as digits as its factorization.

11468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 11468288 is about 3386.4860844244. The cubic root of 11468288 is about 225.5102035196.

The spelling of 11468288 in words is "eleven million, four hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 1723 3328 3446 6656 6892 13784 22399 27568 44798 55136 89596 110272 179192 220544 358384 441088 716768 882176 1433536 2867072 5734144 11468288