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12444192 = 25344801
BaseRepresentation
bin101111011110…
…001000100000
3212102020020000
4233132020200
511141203232
61122420000
7210526305
oct57361040
925366200
1012444192
11702a562
124201600
132769237
14191d0ac
15115c27c
hexbde220

12444192 has 60 divisors (see below), whose sum is σ = 36605646. Its totient is φ = 4147200.

The previous prime is 12444181. The next prime is 12444193. The reversal of 12444192 is 29144421.

It is a happy number.

12444192 is a `hidden beast` number, since 1 + 244 + 419 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10265616 + 2178576 = 3204^2 + 1476^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (12444193) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 192 + ... + 4992.

Almost surely, 212444192 is an apocalyptic number.

12444192 is a gapful number since it is divisible by the number (12) 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 12444192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302823).

12444192 is an abundant number, since it is smaller than the sum of its proper divisors (24161454).

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

12444192 is an equidigital number, since it uses as much as digits as its factorization.

12444192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4806 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12444192 is about 3527.6326339345. The cubic root of 12444192 is about 231.7335426778.

It can be divided in two parts, 1244419 and 2, that added together give a palindrome (1244421).

The spelling of 12444192 in words is "twelve million, four hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4801 9602 14403 19204 28806 38408 43209 57612 76816 86418 115224 129627 153632 172836 230448 259254 345672 388881 460896 518508 691344 777762 1037016 1382688 1555524 2074032 3111048 4148064 6222096 12444192