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12882528 = 2532411091
BaseRepresentation
bin110001001001…
…001001100000
3220020111111200
4301021021200
511244220103
61140041200
7214333251
oct61111140
926214450
1012882528
1172a991a
124393200
1328908c9
1419d4b28
1511e70a3
hexc49260

12882528 has 72 divisors (see below), whose sum is σ = 37562616. Its totient is φ = 4185600.

The previous prime is 12882517. The next prime is 12882533. The reversal of 12882528 is 82528821.

It is a happy number.

12882528 is a `hidden beast` number, since 128 + 8 + 2 + 528 = 666.

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 junction number, because it is equal to n+sod(n) for n = 12882492 and 12882501.

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, 11263 + ... + 12353.

It is an arithmetic number, because the mean of its divisors is an integer number (521703).

Almost surely, 212882528 is an apocalyptic number.

12882528 is a gapful number since it is divisible by the number (18) 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 12882528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781308).

12882528 is an abundant number, since it is smaller than the sum of its proper divisors (24680088).

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

12882528 is a wasteful number, since it uses less digits than its factorization.

12882528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 12882528 is about 3589.2238715355. The cubic root of 12882528 is about 234.4230785634.

The spelling of 12882528 in words is "twelve million, eight hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1091 1312 1476 1968 2182 2952 3273 3936 4364 5904 6546 8728 9819 11808 13092 17456 19638 26184 34912 39276 44731 52368 78552 89462 104736 134193 157104 178924 268386 314208 357848 402579 536772 715696 805158 1073544 1431392 1610316 2147088 3220632 4294176 6441264 12882528