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12888384 = 263193533
BaseRepresentation
bin110001001010…
…100101000000
3220020210112120
4301022211000
511244412014
61140124240
7214356315
oct61124500
926223476
1012888384
117303263
124396680
132893482
1419d6d0c
1511e8ba9
hexc4a940

12888384 has 56 divisors (see below), whose sum is σ = 35905440. Its totient is φ = 4068864.

The previous prime is 12888371. The next prime is 12888427. The reversal of 12888384 is 48388821.

It is a super-2 number, since 2×128883842 = 332220884262912, which contains 22 as substring.

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, 1882 + ... + 5414.

Almost surely, 212888384 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 12888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952720).

12888384 is an abundant number, since it is smaller than the sum of its proper divisors (23017056).

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

12888384 is a wasteful number, since it uses less digits than its factorization.

12888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3557 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 12888384 is about 3590.0395540996. The cubic root of 12888384 is about 234.4585936836.

The spelling of 12888384 in words is "twelve million, eight hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3533 3648 7066 10599 14132 21198 28264 42396 56528 67127 84792 113056 134254 169584 201381 226112 268508 339168 402762 537016 678336 805524 1074032 1611048 2148064 3222096 4296128 6444192 12888384