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44495136 = 2533721051
BaseRepresentation
bin1010100110111…
…1000100100000
310002201120212000
42221233010200
542342321021
64225404000
71050126300
oct251570440
9102646760
1044495136
1123130944
1212a99600
1392ab8aa
145ca3600
153d8db26
hex2a6f120

44495136 has 144 divisors (see below), whose sum is σ = 151109280. Its totient is φ = 12700800.

The previous prime is 44495119. The next prime is 44495149. The reversal of 44495136 is 63159444.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 44495136.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41811 + ... + 42861.

It is an arithmetic number, because the mean of its divisors is an integer number (1049370).

Almost surely, 244495136 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 44495136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75554640).

44495136 is an abundant number, since it is smaller than the sum of its proper divisors (106614144).

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

44495136 is a wasteful number, since it uses less digits than its factorization.

44495136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1063 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 44495136 is about 6670.4674498869. The cubic root of 44495136 is about 354.3541414335.

The spelling of 44495136 in words is "forty-four million, four hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1051 1176 1323 1512 1568 1764 2016 2102 2352 2646 3024 3153 3528 4204 4704 5292 6048 6306 7056 7357 8408 9459 10584 12612 14112 14714 16816 18918 21168 22071 25224 28377 29428 33632 37836 42336 44142 50448 51499 56754 58856 66213 75672 88284 100896 102998 113508 117712 132426 151344 154497 176568 198639 205996 227016 235424 264852 302688 308994 353136 397278 411992 454032 463491 529704 617988 706272 794556 823984 908064 926982 1059408 1235976 1390473 1589112 1647968 1853964 2118816 2471952 2780946 3178224 3707928 4943904 5561892 6356448 7415856 11123784 14831712 22247568 44495136