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4044240 = 2432541137
BaseRepresentation
bin1111011011010111010000
321121110122200
433123113100
52013403430
6222403200
746242534
oct17332720
97543580
104044240
112312552
121430500
13ab7a55
14773bc4
1554d460
hex3db5d0

4044240 has 120 divisors (see below), whose sum is σ = 14014728. Its totient is φ = 1044480.

The previous prime is 4044223. The next prime is 4044241. The reversal of 4044240 is 424404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 4016016 = 168^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044241) 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 23 ways as a sum of consecutive naturals, for example, 29452 + ... + 29588.

Almost surely, 24044240 is an apocalyptic number.

4044240 is a gapful number since it is divisible by the number (40) 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 4044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007364).

4044240 is an abundant number, since it is smaller than the sum of its proper divisors (9970488).

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

4044240 is a wasteful number, since it uses less digits than its factorization.

4044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4044240 is about 2011.0295870524. The cubic root of 4044240 is about 159.3231826932.

Adding to 4044240 its reverse (424404), we get a palindrome (4468644).

The spelling of 4044240 in words is "four million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 137 144 164 180 205 240 246 274 328 360 369 410 411 492 548 615 656 685 720 738 820 822 984 1096 1230 1233 1370 1476 1640 1644 1845 1968 2055 2192 2460 2466 2740 2952 3280 3288 3690 4110 4920 4932 5480 5617 5904 6165 6576 7380 8220 9840 9864 10960 11234 12330 14760 16440 16851 19728 22468 24660 28085 29520 32880 33702 44936 49320 50553 56170 67404 84255 89872 98640 101106 112340 134808 168510 202212 224680 252765 269616 337020 404424 449360 505530 674040 808848 1011060 1348080 2022120 4044240