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44840016 = 243213171409
BaseRepresentation
bin1010101100001…
…1010001010000
310010101002221100
42223003101100
542434340031
64241024400
71053063624
oct253032120
9103332840
1044840016
1123346a71
1213025100
13939c870
145d53184
153e0ade6
hex2ac3450

44840016 has 120 divisors (see below), whose sum is σ = 143193960. Its totient is φ = 12976128.

The previous prime is 44840011. The next prime is 44840023. The reversal of 44840016 is 61004844.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 44836416 = 60^2 + 6696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44840011) 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, 31120 + ... + 32528.

It is an arithmetic number, because the mean of its divisors is an integer number (1193283).

Almost surely, 244840016 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 44840016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71596980).

44840016 is an abundant number, since it is smaller than the sum of its proper divisors (98353944).

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

44840016 is a wasteful number, since it uses less digits than its factorization.

44840016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44840016 is about 6696.2688118086. The cubic root of 44840016 is about 355.2673143668.

The spelling of 44840016 in words is "forty-four million, eight hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1409 1768 1872 1989 2448 2652 2818 3536 3978 4227 5304 5636 7956 8454 10608 11272 12681 15912 16908 18317 22544 23953 25362 31824 33816 36634 47906 50724 54951 67632 71859 73268 95812 101448 109902 143718 146536 164853 191624 202896 215577 219804 287436 293072 311389 329706 383248 431154 439608 574872 622778 659412 862308 879216 934167 1149744 1245556 1318824 1724616 1868334 2491112 2637648 2802501 3449232 3736668 4982224 5605002 7473336 11210004 14946672 22420008 44840016