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44132040 = 2334553257
BaseRepresentation
bin1010100001011…
…0011011001000
310002001010210000
42220112123020
542244211130
64213523000
71044054561
oct250263310
9102033700
1044132040
1122a03067
1212943460
1391b2544
145c0b168
153d1b260
hex2a166c8

44132040 has 160 divisors (see below), whose sum is σ = 151719480. Its totient is φ = 11501568.

The previous prime is 44132027. The next prime is 44132047. The reversal of 44132040 is 4023144.

It can be written as a sum of positive squares in 4 ways, for example, as 44116164 + 15876 = 6642^2 + 126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44132047) 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 39 ways as a sum of consecutive naturals, for example, 171592 + ... + 171848.

Almost surely, 244132040 is an apocalyptic number.

44132040 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 44132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75859740).

44132040 is an abundant number, since it is smaller than the sum of its proper divisors (107587440).

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

44132040 is a wasteful number, since it uses less digits than its factorization.

44132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44132040 is about 6643.1950144490. The cubic root of 44132040 is about 353.3876226853.

Adding to 44132040 its reverse (4023144), we get a palindrome (48155184).

The spelling of 44132040 in words is "forty-four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 257 265 270 318 324 360 405 424 477 514 530 540 636 648 771 795 810 954 1028 1060 1080 1272 1285 1431 1542 1590 1620 1908 2056 2120 2313 2385 2570 2862 3084 3180 3240 3816 3855 4293 4626 4770 5140 5724 6168 6360 6939 7155 7710 8586 9252 9540 10280 11448 11565 13621 13878 14310 15420 17172 18504 19080 20817 21465 23130 27242 27756 28620 30840 34344 34695 40863 41634 42930 46260 54484 55512 57240 68105 69390 81726 83268 85860 92520 104085 108968 122589 136210 138780 163452 166536 171720 204315 208170 245178 272420 277560 326904 367767 408630 416340 490356 544840 612945 735534 817260 832680 980712 1103301 1225890 1471068 1634520 1838835 2206602 2451780 2942136 3677670 4413204 4903560 5516505 7355340 8826408 11033010 14710680 22066020 44132040