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44984016 = 24327114057
BaseRepresentation
bin1010101110011…
…0011011010000
310010122102110200
42223212123100
543003442031
64244055200
71054233510
oct253463320
9103572420
1044984016
1123435180
1213094500
13942027c
145d8d840
153e388e6
hex2ae66d0

44984016 has 120 divisors (see below), whose sum is σ = 156995904. Its totient is φ = 11681280.

The previous prime is 44983949. The next prime is 44984033. The reversal of 44984016 is 61048944.

It is a happy number.

44984016 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 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 23 ways as a sum of consecutive naturals, for example, 9060 + ... + 13116.

Almost surely, 244984016 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 44984016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78497952).

44984016 is an abundant number, since it is smaller than the sum of its proper divisors (112011888).

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

44984016 is a wasteful number, since it uses less digits than its factorization.

44984016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44984016 is about 6707.0124496679. The cubic root of 44984016 is about 355.6472118450.

The spelling of 44984016 in words is "forty-four million, nine hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4057 5544 8114 11088 12171 16228 24342 28399 32456 36513 44627 48684 56798 64912 73026 85197 89254 97368 113596 133881 146052 170394 178508 194736 227192 255591 267762 292104 312389 340788 357016 401643 454384 511182 535524 584208 624778 681576 714032 803286 937167 1022364 1071048 1249556 1363152 1606572 1874334 2044728 2142096 2499112 2811501 3213144 3748668 4089456 4998224 5623002 6426288 7497336 11246004 14994672 22492008 44984016