Search a number
-
+
12288248 = 237219433
BaseRepresentation
bin101110111000…
…000011111000
3212010022022022
4232320003320
511121210443
61115214012
7206306540
oct56700370
925108268
1012288248
116a33385
124147308
13271326b
1418bc320
15112ae68
hexbb80f8

12288248 has 16 divisors (see below), whose sum is σ = 26332080. Its totient is φ = 5266368.

The previous prime is 12288173. The next prime is 12288259. The reversal of 12288248 is 84288221.

12288248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109661 + ... + 109772.

It is an arithmetic number, because the mean of its divisors is an integer number (1645755).

Almost surely, 212288248 is an apocalyptic number.

It is an amenable number.

12288248 is an abundant number, since it is smaller than the sum of its proper divisors (14043832).

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

12288248 is a wasteful number, since it uses less digits than its factorization.

12288248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219446 (or 219442 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 12288248 is about 3505.4597416031. The cubic root of 12288248 is about 230.7614836602.

The spelling of 12288248 in words is "twelve million, two hundred eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 219433 438866 877732 1536031 1755464 3072062 6144124 12288248