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12835648 = 26724093
BaseRepresentation
bin110000111101…
…101101000000
3220011010012101
4300331231000
511241220043
61135040144
7214046500
oct60755500
926133171
1012835648
117277681
124370054
132875477
1419c1a00
1511d824d
hexc3db40

12835648 has 42 divisors (see below), whose sum is σ = 29636466. Its totient is φ = 5499648.

The previous prime is 12835639. The next prime is 12835651. The reversal of 12835648 is 84653821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10549504 + 2286144 = 3248^2 + 1512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1090 + ... + 5182.

Almost surely, 212835648 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 12835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818233).

12835648 is an abundant number, since it is smaller than the sum of its proper divisors (16800818).

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

12835648 is an equidigital number, since it uses as much as digits as its factorization.

12835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4102 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 12835648 is about 3582.6872595860. The cubic root of 12835648 is about 234.1383748249.

The spelling of 12835648 in words is "twelve million, eight hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4093 8186 16372 28651 32744 57302 65488 114604 130976 200557 229208 261952 401114 458416 802228 916832 1604456 1833664 3208912 6417824 12835648