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44278164 = 2234722789
BaseRepresentation
bin1010100011101…
…0000110010100
310002022120020000
42220322012110
542313400124
64221011300
71045233600
oct250720624
9102276200
1044278164
1122aa2927
12129b3b30
139233bc8
145c48500
153d496c9
hex2a3a194

44278164 has 90 divisors (see below), whose sum is σ = 134698410. Its totient is φ = 12646368.

The previous prime is 44278163. The next prime is 44278187. The reversal of 44278164 is 46187244.

It can be written as a sum of positive squares in only one way, i.e., 39690000 + 4588164 = 6300^2 + 2142^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44278163) 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 29 ways as a sum of consecutive naturals, for example, 14482 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 244278164 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 44278164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67349205).

44278164 is an abundant number, since it is smaller than the sum of its proper divisors (90420246).

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

44278164 is a wasteful number, since it uses less digits than its factorization.

44278164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2801 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 44278164 is about 6654.1839469615. The cubic root of 44278164 is about 353.7772226592. Note that the first 3 decimals are identical.

It can be divided in two parts, 442 and 78164, that added together give a triangular number (78606 = T396).

The spelling of 44278164 in words is "forty-four million, two hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 2789 3969 5292 5578 7938 8367 11156 15876 16734 19523 25101 33468 39046 50202 58569 75303 78092 100404 117138 136661 150606 175707 225909 234276 273322 301212 351414 409983 451818 527121 546644 702828 819966 903636 1054242 1229949 1581363 1639932 2108484 2459898 3162726 3689847 4919796 6325452 7379694 11069541 14759388 22139082 44278164