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12248704 = 271317433
BaseRepresentation
bin101110101110…
…011010000000
3212001022001201
4232232122000
511113424304
61114310544
7206053336
oct56563200
925038051
1012248704
116a066a6
124128454
1326cb270
1418abb56
15111e3a4
hexbae680

12248704 has 64 divisors (see below), whose sum is σ = 27888840. Its totient is φ = 5308416.

The previous prime is 12248683. The next prime is 12248729. The reversal of 12248704 is 40784221.

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 4631104 = 2760^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 28072 + ... + 28504.

Almost surely, 212248704 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 12248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944420).

12248704 is an abundant number, since it is smaller than the sum of its proper divisors (15640136).

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

12248704 is a wasteful number, since it uses less digits than its factorization.

12248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 12248704 is about 3499.8148522458. The cubic root of 12248704 is about 230.5136848939.

It can be divided in two parts, 1224 and 8704, that multiplied together give a square (10653696 = 32642).

The spelling of 12248704 in words is "twelve million, two hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 433 442 544 832 866 884 1088 1664 1732 1768 2176 3464 3536 5629 6928 7072 7361 11258 13856 14144 14722 22516 27712 28288 29444 45032 55424 58888 90064 95693 117776 180128 191386 235552 360256 382772 471104 720512 765544 942208 1531088 3062176 6124352 12248704