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5337216 = 273241113
BaseRepresentation
bin10100010111000010000000
3101001011021200
4110113002000
52331242331
6310221200
763236253
oct24270200
911034250
105337216
113015a25
121954800
13114b421
149cd09a
157065e6
hex517080

5337216 has 96 divisors (see below), whose sum is σ = 15872220. Its totient is φ = 1720320.

The previous prime is 5337209. The next prime is 5337217. The reversal of 5337216 is 6127335.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 1742400 = 1896^2 + 1320^2 .

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5337216.

It is not an unprimeable number, because it can be changed into a prime (5337217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47176 + ... + 47288.

Almost surely, 25337216 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 5337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110).

5337216 is an abundant number, since it is smaller than the sum of its proper divisors (10535004).

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

5337216 is a wasteful number, since it uses less digits than its factorization.

5337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5337216 is about 2310.2415458129. The cubic root of 5337216 is about 174.7584804348.

The spelling of 5337216 in words is "five million, three hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 113 123 128 144 164 192 226 246 288 328 339 369 384 452 492 576 656 678 738 904 984 1017 1152 1312 1356 1476 1808 1968 2034 2624 2712 2952 3616 3936 4068 4633 5248 5424 5904 7232 7872 8136 9266 10848 11808 13899 14464 15744 16272 18532 21696 23616 27798 32544 37064 41697 43392 47232 55596 65088 74128 83394 111192 130176 148256 166788 222384 296512 333576 444768 593024 667152 889536 1334304 1779072 2668608 5337216