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11388288 = 27347631
BaseRepresentation
bin101011011100…
…010110000000
3210102120210110
4223130112000
510403411123
61044031320
7165541002
oct53342600
923376713
1011388288
11647920a
123992540
132489742
141726372
15eee493
hexadc580

11388288 has 64 divisors (see below), whose sum is σ = 30942720. Its totient is φ = 3709440.

The previous prime is 11388263. The next prime is 11388319. The reversal of 11388288 is 88288311.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17733 + ... + 18363.

It is an arithmetic number, because the mean of its divisors is an integer number (483480).

Almost surely, 211388288 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 11388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471360).

11388288 is an abundant number, since it is smaller than the sum of its proper divisors (19554432).

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

11388288 is an equidigital number, since it uses as much as digits as its factorization.

11388288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 11388288 is about 3374.6537600175. The cubic root of 11388288 is about 224.9846112932.

The spelling of 11388288 in words is "eleven million, three hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 631 752 1128 1262 1504 1893 2256 2524 3008 3786 4512 5048 6016 7572 9024 10096 15144 18048 20192 29657 30288 40384 59314 60576 80768 88971 118628 121152 177942 237256 242304 355884 474512 711768 949024 1423536 1898048 2847072 3796096 5694144 11388288