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44240868 = 223271723449
BaseRepresentation
bin1010100011000…
…0111111100100
310002020200001200
42220300333210
542311201433
64220122500
71045020060
oct250607744
9102220050
1044240868
1122a77901
1212996430
13921cc39
145c38aa0
153d3d613
hex2a30fe4

44240868 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 11354112.

The previous prime is 44240773. The next prime is 44240879. The reversal of 44240868 is 86804244.

44240868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 98308 + ... + 98756.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 244240868 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 44240868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

44240868 is an abundant number, since it is smaller than the sum of its proper divisors (97282332).

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

44240868 is a wasteful number, since it uses less digits than its factorization.

44240868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 44240868 is about 6651.3809092549. The cubic root of 44240868 is about 353.6778645674.

The spelling of 44240868 in words is "forty-four million, two hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 449 476 483 612 644 714 782 828 898 966 1071 1173 1347 1428 1449 1564 1796 1932 2142 2346 2694 2737 2898 3143 3519 4041 4284 4692 5388 5474 5796 6286 7038 7633 8082 8211 9429 10327 10948 12572 14076 15266 16164 16422 18858 20654 22899 24633 28287 30532 30981 32844 37716 41308 45798 49266 53431 56574 61962 68697 72289 91596 92943 98532 106862 113148 123924 137394 144578 160293 175559 185886 213724 216867 274788 289156 320586 351118 371772 433734 480879 526677 641172 650601 702236 867468 961758 1053354 1228913 1301202 1580031 1923516 2106708 2457826 2602404 3160062 3686739 4915652 6320124 7373478 11060217 14746956 22120434 44240868