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12823568 = 24292953
BaseRepresentation
bin110000111010…
…110000010000
3220010111121222
4300322300100
511240323233
61134504212
7213666332
oct60726020
926114558
1012823568
11726959a
124365068
13286cb14
1419bb452
1511d4898
hexc3ac10

12823568 has 30 divisors (see below), whose sum is σ = 25758954. Its totient is φ = 6184192.

The previous prime is 12823541. The next prime is 12823607. The reversal of 12823568 is 86532821.

It can be written as a sum of positive squares in 3 ways, for example, as 1721344 + 11102224 = 1312^2 + 3332^2 .

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, 12980 + ... + 13932.

Almost surely, 212823568 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 12823568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879477).

12823568 is an abundant number, since it is smaller than the sum of its proper divisors (12935386).

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

12823568 is an equidigital number, since it uses as much as digits as its factorization.

12823568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 984 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 12823568 is about 3581.0009773805. Note that the first 3 decimals coincide. The cubic root of 12823568 is about 234.0649003024.

The spelling of 12823568 in words is "twelve million, eight hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 953 1682 1906 3364 3812 6728 7624 13456 15248 27637 55274 110548 221096 442192 801473 1602946 3205892 6411784 12823568