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12648448 = 216193
BaseRepresentation
bin110000010000…
…000000000000
3212210121102001
4300100000000
511214222243
61131033344
7212336641
oct60200000
925717361
1012648448
117159a6a
12429b854
13280b1b7
1419736c8
15119ca4d
hexc10000

12648448 has 34 divisors (see below), whose sum is σ = 25427774. Its totient is φ = 6291456.

The previous prime is 12648439. The next prime is 12648451. The reversal of 12648448 is 84484621.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 3211264 = 3072^2 + 1792^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65440 + ... + 65632.

Almost surely, 212648448 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 12648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713887).

12648448 is an abundant number, since it is smaller than the sum of its proper divisors (12779326).

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

12648448 is an frugal number, since it uses more digits than its factorization.

12648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 12648448 is about 3556.4656612991. The cubic root of 12648448 is about 232.9945414306.

The spelling of 12648448 in words is "twelve million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 2048 3088 4096 6176 8192 12352 16384 24704 32768 49408 65536 98816 197632 395264 790528 1581056 3162112 6324224 12648448