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2444112 = 2432111543
BaseRepresentation
bin1001010100101101010000
311121011200200
421110231100
51111202422
6124215200
726526456
oct11245520
94534620
102444112
11141a330
1299a500
13677628
144789d6
153342ac
hex254b50

2444112 has 60 divisors (see below), whose sum is σ = 7466784. Its totient is φ = 740160.

The previous prime is 2444111. The next prime is 2444119. The reversal of 2444112 is 2114442.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813 + ... + 2355.

22444112 is an apocalyptic number.

2444112 is a gapful number since it is divisible by the number (22) 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 2444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733392).

2444112 is an abundant number, since it is smaller than the sum of its proper divisors (5022672).

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

2444112 is a wasteful number, since it uses less digits than its factorization.

2444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1559 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2444112 is about 1563.3656002356. The cubic root of 2444112 is about 134.7018936478.

Adding to 2444112 its reverse (2114442), we get a palindrome (4558554).

It can be divided in two parts, 2444 and 112, that added together give a triangular number (2556 = T71).

The spelling of 2444112 in words is "two million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1543 1584 3086 4629 6172 9258 12344 13887 16973 18516 24688 27774 33946 37032 50919 55548 67892 74064 101838 111096 135784 152757 203676 222192 271568 305514 407352 611028 814704 1222056 2444112