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12249288 = 2332612789
BaseRepresentation
bin101110101110…
…100011001000
3212001022212100
4232232203020
511113434123
61114313400
7206055132
oct56564310
925038770
1012249288
116a07087
124128860
1326cb5cc
1418ac052
15111e643
hexbae8c8

12249288 has 48 divisors (see below), whose sum is σ = 33731100. Its totient is φ = 4014720.

The previous prime is 12249269. The next prime is 12249323. The reversal of 12249288 is 88294221.

12249288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 675684 = 3402^2 + 822^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2998 + ... + 5786.

Almost surely, 212249288 is an apocalyptic number.

12249288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12249288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865550).

12249288 is an abundant number, since it is smaller than the sum of its proper divisors (21481812).

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

12249288 is a wasteful number, since it uses less digits than its factorization.

12249288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2855 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12249288 is about 3499.8982842363. The cubic root of 12249288 is about 230.5173483523.

The spelling of 12249288 in words is "twelve million, two hundred forty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 2789 4392 5578 8367 11156 16734 22312 25101 33468 50202 66936 100404 170129 200808 340258 510387 680516 1020774 1361032 1531161 2041548 3062322 4083096 6124644 12249288