Search a number
-
+
12627248 = 241973569
BaseRepresentation
bin110000001010…
…110100110000
3212202112022212
4300022310300
511213032443
61130351252
7212221064
oct60126460
925675285
1012627248
117145047
12428b528
13280165a
141969aa4
151196618
hexc0ad30

12627248 has 40 divisors (see below), whose sum is σ = 26151600. Its totient is φ = 5889024.

The previous prime is 12627247. The next prime is 12627257. The reversal of 12627248 is 84272621.

It is not an unprimeable number, because it can be changed into a prime (12627247) 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, 21908 + ... + 22476.

It is an arithmetic number, because the mean of its divisors is an integer number (653790).

Almost surely, 212627248 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 12627248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075800).

12627248 is an abundant number, since it is smaller than the sum of its proper divisors (13524352).

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

12627248 is a wasteful number, since it uses less digits than its factorization.

12627248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 12627248 is about 3553.4839242636. The cubic root of 12627248 is about 232.8642949758.

Adding to 12627248 its reverse (84272621), we get a palindrome (96899869).

The spelling of 12627248 in words is "twelve million, six hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 569 584 1138 1168 1387 2276 2774 4552 5548 9104 10811 11096 21622 22192 41537 43244 83074 86488 166148 172976 332296 664592 789203 1578406 3156812 6313624 12627248