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544016816 = 24721959619
BaseRepresentation
bin100000011011010…
…000100110110000
31101220122220202222
4200123100212300
52103232014231
6125552100212
716324031600
oct4033204660
91356586688
10544016816
1125a0a0982
12132234668
1388927055
1452372c00
1532b6027b
hex206d09b0

544016816 has 120 divisors (see below), whose sum is σ = 1314648000. Its totient is φ = 216784512.

The previous prime is 544016801. The next prime is 544016821. The reversal of 544016816 is 618610445.

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, 878555 + ... + 879173.

It is an arithmetic number, because the mean of its divisors is an integer number (10955400).

Almost surely, 2544016816 is an apocalyptic number.

544016816 is a gapful number since it is divisible by the number (56) 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 544016816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657324000).

544016816 is an abundant number, since it is smaller than the sum of its proper divisors (770631184).

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

544016816 is a wasteful number, since it uses less digits than its factorization.

544016816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 544016816 is about 23324.1680666214. The cubic root of 544016816 is about 816.3394317076.

The spelling of 544016816 in words is "five hundred forty-four million, sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 59 76 98 112 118 133 152 196 236 266 304 392 413 472 532 619 784 826 931 944 1064 1121 1238 1652 1862 2128 2242 2476 2891 3304 3724 4333 4484 4952 5782 6608 7448 7847 8666 8968 9904 11564 11761 14896 15694 17332 17936 23128 23522 30331 31388 34664 36521 46256 47044 54929 60662 62776 69328 73042 82327 94088 109858 121324 125552 146084 164654 188176 219716 242648 255647 292168 329308 439432 485296 511294 576289 584336 658616 693899 878864 1022588 1152578 1317232 1387798 1789529 2045176 2305156 2775596 3579058 4090352 4610312 4857293 5551192 7158116 9220624 9714586 11102384 14316232 19429172 28632464 34001051 38858344 68002102 77716688 136004204 272008408 544016816