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44288244 = 2232711131229
BaseRepresentation
bin1010100011110…
…0100011110100
310002100002001100
42220330203310
542314210434
64221130100
71045305150
oct250744364
9102302040
1044288244
1122aaa460
12129b9930
139238680
145c4c060
153d4c699
hex2a3c8f4

44288244 has 144 divisors (see below), whose sum is σ = 150433920. Its totient is φ = 10609920.

The previous prime is 44288239. The next prime is 44288261.

44288244 = T49 + T50 + ... + T642.

44288244 is nontrivially palindromic in base 10.

44288244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442882442 = 3922897113207072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44288199 and 44288208.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35422 + ... + 36650.

It is an arithmetic number, because the mean of its divisors is an integer number (1044680).

Almost surely, 244288244 is an apocalyptic number.

44288244 is a gapful number since it is divisible by the number (44) 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 44288244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75216960).

44288244 is an abundant number, since it is smaller than the sum of its proper divisors (106145676).

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

44288244 is a wasteful number, since it uses less digits than its factorization.

44288244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 44288244 is about 6654.9413220554. The cubic root of 44288244 is about 353.8040666195.

The spelling of 44288244 in words is "forty-four million, two hundred eighty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1229 1287 1386 1638 1716 2002 2458 2574 2772 3003 3276 3687 4004 4916 5148 6006 7374 8603 9009 11061 12012 13519 14748 15977 17206 18018 22122 25809 27038 31954 34412 36036 40557 44244 47931 51618 54076 63908 77427 81114 94633 95862 103236 111839 121671 143793 154854 162228 175747 189266 191724 223678 243342 283899 287586 309708 335517 351494 378532 447356 486684 527241 567798 575172 671034 702988 851697 1006551 1054482 1135596 1230229 1342068 1581723 1703394 2013102 2108964 2460458 3163446 3406788 3690687 4026204 4920916 6326892 7381374 11072061 14762748 22144122 44288244