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11888352 = 253275897
BaseRepresentation
bin101101010110…
…011011100000
3211100222202100
4231112123200
511020411402
61102450400
7203022630
oct55263340
924328670
1011888352
11678a993
123b93a00
132603238
1418166c0
15109c71c
hexb566e0

11888352 has 72 divisors (see below), whose sum is σ = 38643696. Its totient is φ = 3396096.

The previous prime is 11888341. The next prime is 11888369. The reversal of 11888352 is 25388811.

11888352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (536718).

Almost surely, 211888352 is an apocalyptic number.

11888352 is a gapful number since it is divisible by the number (12) 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 11888352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321848).

11888352 is an abundant number, since it is smaller than the sum of its proper divisors (26755344).

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

11888352 is a wasteful number, since it uses less digits than its factorization.

11888352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5909 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 11888352 is about 3447.9489555386. The cubic root of 11888352 is about 228.2306069362.

The spelling of 11888352 in words is "eleven million, eight hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5897 11794 17691 23588 35382 41279 47176 53073 70764 82558 94352 106146 123837 141528 165116 188704 212292 247674 283056 330232 371511 424584 495348 566112 660464 743022 849168 990696 1320928 1486044 1698336 1981392 2972088 3962784 5944176 11888352