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11528288 = 251967283
BaseRepresentation
bin101011111110…
…100001100000
3210200200211122
4223332201200
510422401123
61051031412
7166663112
oct53764140
923620748
1011528288
116564412
123a3b568
132508395
1417613b2
15102abc8
hexafe860

11528288 has 48 divisors (see below), whose sum is σ = 24333120. Its totient is φ = 5360256.

The previous prime is 11528281. The next prime is 11528317. The reversal of 11528288 is 88282511.

11528288 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 not an unprimeable number, because it can be changed into a prime (11528281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40595 + ... + 40877.

It is an arithmetic number, because the mean of its divisors is an integer number (506940).

Almost surely, 211528288 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 11528288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166560).

11528288 is an abundant number, since it is smaller than the sum of its proper divisors (12804832).

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

11528288 is a wasteful number, since it uses less digits than its factorization.

11528288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 10240, while the sum is 35.

The square root of 11528288 is about 3395.3332678840. Note that the first 3 decimals coincide. The cubic root of 11528288 is about 225.9027957993.

The spelling of 11528288 in words is "eleven million, five hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 283 304 536 566 608 1072 1132 1273 2144 2264 2546 4528 5092 5377 9056 10184 10754 18961 20368 21508 37922 40736 43016 75844 86032 151688 172064 303376 360259 606752 720518 1441036 2882072 5764144 11528288