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12833328 = 243416521
BaseRepresentation
bin110000111101…
…001000110000
3220011000000110
4300331020300
511241131303
61135021320
7214036644
oct60751060
926130013
1012833328
117275962
12436a840
1328743b1
1419c0c24
1511d7703
hexc3d230

12833328 has 40 divisors (see below), whose sum is σ = 33966576. Its totient is φ = 4172800.

The previous prime is 12833323. The next prime is 12833329. The reversal of 12833328 is 82333821.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12833295 and 12833304.

It is not an unprimeable number, because it can be changed into a prime (12833323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 5228.

Almost surely, 212833328 is an apocalyptic number.

It is an amenable number.

12833328 is an abundant number, since it is smaller than the sum of its proper divisors (21133248).

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

12833328 is a wasteful number, since it uses less digits than its factorization.

12833328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6567 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12833328 is about 3582.3634656467. The cubic root of 12833328 is about 234.1242674016.

The spelling of 12833328 in words is "twelve million, eight hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 6521 13042 19563 26084 39126 52168 78252 104336 156504 267361 313008 534722 802083 1069444 1604166 2138888 3208332 4277776 6416664 12833328