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544010016 = 25311737057
BaseRepresentation
bin100000011011001…
…110111100100000
31101220122120110010
4200123032330200
52103231310031
6125552004520
716324003014
oct4033167440
91356576403
10544010016
1125a096860
12132230740
1388923c24
1452370544
1532b5d246
hex206cef20

544010016 has 96 divisors (see below), whose sum is σ = 1579411008. Its totient is φ = 162570240.

The previous prime is 544010009. The next prime is 544010021. The reversal of 544010016 is 610010445.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 544009974 and 544010001.

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 15 ways as a sum of consecutive naturals, for example, 73560 + ... + 80616.

It is an arithmetic number, because the mean of its divisors is an integer number (16452198).

Almost surely, 2544010016 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 544010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789705504).

544010016 is an abundant number, since it is smaller than the sum of its proper divisors (1035400992).

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

544010016 is a wasteful number, since it uses less digits than its factorization.

544010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 544010016 is about 23324.0222946215. The cubic root of 544010016 is about 816.3360303843.

The spelling of 544010016 in words is "five hundred forty-four million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 803 876 1056 1168 1606 1752 2336 2409 3212 3504 4818 6424 7008 7057 9636 12848 14114 19272 21171 25696 28228 38544 42342 56456 77088 77627 84684 112912 155254 169368 225824 232881 310508 338736 465762 515161 621016 677472 931524 1030322 1242032 1545483 1863048 2060644 2484064 3090966 3726096 4121288 5666771 6181932 7452192 8242576 11333542 12363864 16485152 17000313 22667084 24727728 34000626 45334168 49455456 68001252 90668336 136002504 181336672 272005008 544010016