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12046452 = 22311263347
BaseRepresentation
bin101101111101…
…000001110100
3211200000121220
4231331001310
511040441302
61110110340
7204251565
oct55750164
924600556
1012046452
116888750
12404b3b0
13265a1a2
14185816c
1510ce4bc
hexb7d074

12046452 has 48 divisors (see below), whose sum is σ = 30868992. Its totient is φ = 3626080.

The previous prime is 12046403. The next prime is 12046459. The reversal of 12046452 is 25464021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12046459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34543 + ... + 34889.

It is an arithmetic number, because the mean of its divisors is an integer number (643104).

Almost surely, 212046452 is an apocalyptic number.

12046452 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 12046452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434496).

12046452 is an abundant number, since it is smaller than the sum of its proper divisors (18822540).

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

12046452 is a wasteful number, since it uses less digits than its factorization.

12046452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12046452 is about 3470.7999078022. The cubic root of 12046452 is about 229.2378807365.

Subtracting 12046452 from its reverse (25464021), we obtain a square (13417569 = 36632).

The spelling of 12046452 in words is "twelve million, forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 347 526 694 789 1041 1052 1388 1578 2082 2893 3156 3817 4164 5786 7634 8679 11451 11572 15268 17358 22902 34716 45804 91261 182522 273783 365044 547566 1003871 1095132 2007742 3011613 4015484 6023226 12046452