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44379104 = 2572113183
BaseRepresentation
bin1010100101001…
…0101111100000
310002111200200112
42221102233200
542330112404
64223110452
71046134100
oct251225740
9102450615
1044379104
1123061750
1212a42428
13926ab33
145c73200
153d6956e
hex2a52be0

44379104 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 16531200.

The previous prime is 44379103. The next prime is 44379113. The reversal of 44379104 is 40197344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44379103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534647 + ... + 534729.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 244379104 is an apocalyptic number.

44379104 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 44379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

44379104 is an abundant number, since it is smaller than the sum of its proper divisors (71452192).

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

44379104 is a wasteful number, since it uses less digits than its factorization.

44379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 44379104 is about 6661.7643308661. The cubic root of 44379104 is about 354.0458514667.

The spelling of 44379104 in words is "forty-four million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 83 88 98 112 124 154 166 176 196 217 224 248 308 332 341 352 392 434 496 539 581 616 664 682 784 868 913 992 1078 1162 1232 1328 1364 1519 1568 1736 1826 2156 2324 2387 2464 2573 2656 2728 3038 3472 3652 4067 4312 4648 4774 5146 5456 6076 6391 6944 7304 8134 8624 9296 9548 10292 10912 12152 12782 14608 16268 16709 17248 18011 18592 19096 20584 24304 25564 28303 29216 32536 33418 36022 38192 41168 44737 48608 51128 56606 65072 66836 72044 76384 82336 89474 102256 113212 126077 130144 133672 144088 178948 198121 204512 226424 252154 267344 288176 357896 396242 452848 504308 534688 576352 715792 792484 905696 1008616 1386847 1431584 1584968 2017232 2773694 3169936 4034464 5547388 6339872 11094776 22189552 44379104