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12468224 = 214761
BaseRepresentation
bin101111100100…
…000000000000
3212110110012002
4233210000000
511142440344
61123123132
7210656336
oct57440000
925413162
1012468224
11704661a
1242134a8
132777162
141927b56
15116444e
hexbe4000

12468224 has 30 divisors (see below), whose sum is σ = 24968454. Its totient is φ = 6225920.

The previous prime is 12468167. The next prime is 12468227. The reversal of 12468224 is 42286421.

It can be written as a sum of positive squares in only one way, i.e., 6553600 + 5914624 = 2560^2 + 2432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16004 + ... + 16764.

Almost surely, 212468224 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 12468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484227).

12468224 is an abundant number, since it is smaller than the sum of its proper divisors (12500230).

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

12468224 is an frugal number, since it uses more digits than its factorization.

12468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 763 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 12468224 is about 3531.0372413782. The cubic root of 12468224 is about 231.8826199718.

The spelling of 12468224 in words is "twelve million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 761 1024 1522 2048 3044 4096 6088 8192 12176 16384 24352 48704 97408 194816 389632 779264 1558528 3117056 6234112 12468224