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44719164 = 223272101251
BaseRepresentation
bin1010101010010…
…1110000111100
310010010222011100
42222211300330
542422003124
64234253100
71052051400
oct252456074
9103128140
1044719164
1123274196
1212b87190
139359859
145d21100
153dd51c9
hex2aa5c3c

44719164 has 108 divisors (see below), whose sum is σ = 133326648. Its totient is φ = 12600000.

The previous prime is 44719159. The next prime is 44719187. The reversal of 44719164 is 46191744.

44719164 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 a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 178039 + ... + 178289.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 244719164 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 44719164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66663324).

44719164 is an abundant number, since it is smaller than the sum of its proper divisors (88607484).

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

44719164 is a wasteful number, since it uses less digits than its factorization.

44719164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 44719164 is about 6687.2388920989. The cubic root of 44719164 is about 354.9478571832.

The spelling of 44719164 in words is "forty-four million, seven hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 101 126 147 196 202 251 252 294 303 404 441 502 588 606 707 753 882 909 1004 1212 1414 1506 1757 1764 1818 2121 2259 2828 3012 3514 3636 4242 4518 4949 5271 6363 7028 8484 9036 9898 10542 12299 12726 14847 15813 19796 21084 24598 25351 25452 29694 31626 36897 44541 49196 50702 59388 63252 73794 76053 89082 101404 110691 147588 152106 177457 178164 221382 228159 304212 354914 442764 456318 532371 709828 912636 1064742 1242199 1597113 2129484 2484398 3194226 3726597 4968796 6388452 7453194 11179791 14906388 22359582 44719164