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12568224 = 253891471
BaseRepresentation
bin101111111100…
…011010100000
3212122112100210
4233330122200
511204140344
61125214120
7211554024
oct57743240
925575323
1012568224
117104769
124261340
1327b0826
141952384
151183db9
hexbfc6a0

12568224 has 48 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 4139520.

The previous prime is 12568217. The next prime is 12568247. The reversal of 12568224 is 42286521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12568191 and 12568200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7809 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 212568224 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 12568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

12568224 is an abundant number, since it is smaller than the sum of its proper divisors (20816736).

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

12568224 is a wasteful number, since it uses less digits than its factorization.

12568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1565 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 12568224 is about 3545.1691073911. The cubic root of 12568224 is about 232.5008995225.

The spelling of 12568224 in words is "twelve million, five hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 1471 2136 2848 2942 4272 4413 5884 8544 8826 11768 17652 23536 35304 47072 70608 130919 141216 261838 392757 523676 785514 1047352 1571028 2094704 3142056 4189408 6284112 12568224