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44163144 = 23341719211
BaseRepresentation
bin1010100001111…
…0000001001000
310002002201110000
42220132001020
542301210034
64214323000
71044244344
oct250360110
9102081400
1044163144
1122a24473
1212959460
1391c374c
145c18624
153d25599
hex2a1e048

44163144 has 160 divisors (see below), whose sum is σ = 138520800. Its totient is φ = 13063680.

The previous prime is 44163101. The next prime is 44163149. The reversal of 44163144 is 44136144.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (44163149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209199 + ... + 209409.

It is an arithmetic number, because the mean of its divisors is an integer number (865755).

Almost surely, 244163144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44163144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69260400).

44163144 is an abundant number, since it is smaller than the sum of its proper divisors (94357656).

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

44163144 is a wasteful number, since it uses less digits than its factorization.

44163144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 44163144 is about 6645.5356443254. The cubic root of 44163144 is about 353.4706250219.

Adding to 44163144 its reverse (44136144), we get a palindrome (88299288).

Subtracting from 44163144 its reverse (44136144), we obtain a cube (27000 = 303).

The spelling of 44163144 in words is "forty-four million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 211 216 228 306 323 324 342 408 422 456 459 513 612 633 646 648 684 844 918 969 1026 1224 1266 1292 1368 1377 1539 1688 1836 1899 1938 2052 2532 2584 2754 2907 3078 3587 3672 3798 3876 4009 4104 5064 5508 5697 5814 6156 7174 7596 7752 8018 8721 10761 11016 11394 11628 12027 12312 14348 15192 16036 17091 17442 21522 22788 23256 24054 26163 28696 32072 32283 34182 34884 36081 43044 45576 48108 52326 64566 68153 68364 69768 72162 86088 96216 96849 104652 108243 129132 136306 136728 144324 193698 204459 209304 216486 258264 272612 288648 290547 324729 387396 408918 432972 545224 581094 613377 649458 774792 817836 865944 1162188 1226754 1298916 1635672 1840131 2324376 2453508 2597832 3680262 4907016 5520393 7360524 11040786 14721048 22081572 44163144