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12828387 = 31113171759
BaseRepresentation
bin110000111011…
…111011100011
3220010202020110
4300323323203
511241002022
61134542403
7214016355
oct60737343
926122213
1012828387
117272180
124367a03
132872080
1419bd0d5
1511d600c
hexc3bee3

12828387 has 32 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 6750720.

The previous prime is 12828377. The next prime is 12828407. The reversal of 12828387 is 78382821.

It is not a de Polignac number, because 12828387 - 27 = 12828259 is a prime.

It is a super-3 number, since 3×128283873 (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12828317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6414 + ... + 8172.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 212828387 is an apocalyptic number.

12828387 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12828387 is a deficient number, since it is larger than the sum of its proper divisors (8460573).

12828387 is a wasteful number, since it uses less digits than its factorization.

12828387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803.

The product of its digits is 43008, while the sum is 39.

The square root of 12828387 is about 3581.6737707390. The cubic root of 12828387 is about 234.0942165709.

It can be divided in two parts, 1282 and 8387, that added together give a palindrome (9669).

The spelling of 12828387 in words is "twelve million, eight hundred twenty-eight thousand, three hundred eighty-seven".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 1759 2431 5277 7293 19349 22867 29903 58047 68601 89709 251537 328933 388739 754611 986799 1166217 4276129 12828387