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12246048 = 2532101421
BaseRepresentation
bin101110101101…
…110000100000
3212001011102100
4232231300200
511113333143
61114250400
7206042523
oct56556040
925034370
1012246048
116a04701
124126a00
1326c9ca9
1418aabba
15111d6d3
hexbadc20

12246048 has 72 divisors (see below), whose sum is σ = 35253036. Its totient is φ = 4032000.

The previous prime is 12246037. The next prime is 12246053. The reversal of 12246048 is 84064221.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 51984 = 3492^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28878 + ... + 29298.

Almost surely, 212246048 is an apocalyptic number.

12246048 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 12246048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626518).

12246048 is an abundant number, since it is smaller than the sum of its proper divisors (23006988).

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

12246048 is a wasteful number, since it uses less digits than its factorization.

12246048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12246048 is about 3499.4353830297. The cubic root of 12246048 is about 230.4970222166.

The spelling of 12246048 in words is "twelve million, two hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 421 606 808 842 909 1212 1263 1616 1684 1818 2424 2526 3232 3368 3636 3789 4848 5052 6736 7272 7578 9696 10104 13472 14544 15156 20208 29088 30312 40416 42521 60624 85042 121248 127563 170084 255126 340168 382689 510252 680336 765378 1020504 1360672 1530756 2041008 3061512 4082016 6123024 12246048