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12833928 = 2332178249
BaseRepresentation
bin110000111101…
…010010001000
3220011000211200
4300331102020
511241141203
61135024200
7214041462
oct60752210
926130750
1012833928
117276358
12436b060
132874753
1419c1132
1511d79a3
hexc3d488

12833928 has 24 divisors (see below), whose sum is σ = 34758750. Its totient is φ = 4277952.

The previous prime is 12833893. The next prime is 12833941. The reversal of 12833928 is 82933821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7717284 + 5116644 = 2778^2 + 2262^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 = 12833892 and 12833901.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89053 + ... + 89196.

Almost surely, 212833928 is an apocalyptic number.

12833928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12833928 is an abundant number, since it is smaller than the sum of its proper divisors (21924822).

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

12833928 is a wasteful number, since it uses less digits than its factorization.

12833928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178261 (or 178254 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12833928 is about 3582.4472082642. The cubic root of 12833928 is about 234.1279160361.

The spelling of 12833928 in words is "twelve million, eight hundred thirty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 178249 356498 534747 712996 1069494 1425992 1604241 2138988 3208482 4277976 6416964 12833928