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11529056 = 257114679
BaseRepresentation
bin101011111110…
…101101100000
3210200201220002
4223332231200
510422412211
61051035132
7166665260
oct53765540
923621802
1011529056
116564a50
123a3baa8
132508836
1417617a0
15102b03b
hexafeb60

11529056 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4490880.

The previous prime is 11529041. The next prime is 11529079. The reversal of 11529056 is 65092511.

It is a super-2 number, since 2×115290562 = 265838264502272, which contains 22 as substring.

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, 125 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 211529056 is an apocalyptic number.

11529056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11529056 is an abundant number, since it is smaller than the sum of its proper divisors (16775584).

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

11529056 is a wasteful number, since it uses less digits than its factorization.

11529056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 11529056 is about 3395.4463624095. The cubic root of 11529056 is about 225.9078121409.

The spelling of 11529056 in words is "eleven million, five hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4679 9358 18716 32753 37432 51469 65506 74864 102938 131012 149728 205876 262024 360283 411752 524048 720566 823504 1048096 1441132 1647008 2882264 5764528 11529056