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71216208 = 24327210093
BaseRepresentation
bin1000011111010…
…10110001010000
311222000011021100
410033222301100
5121212404313
611022224400
71523220300
oct417526120
9158004240
1071216208
1137221878
121ba25100
13119a628b
14965b600
1563bb173
hex43eac50

71216208 has 90 divisors (see below), whose sum is σ = 231869274. Its totient is φ = 20345472.

The previous prime is 71216183. The next prime is 71216239. The reversal of 71216208 is 80261217.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 10188864 = 7812^2 + 3192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2010 + ... + 12102.

Almost surely, 271216208 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 71216208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115934637).

71216208 is an abundant number, since it is smaller than the sum of its proper divisors (160653066).

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

71216208 is a wasteful number, since it uses less digits than its factorization.

71216208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10121 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71216208 is about 8438.9696053487. The cubic root of 71216208 is about 414.5016672881.

The spelling of 71216208 in words is "seventy-one million, two hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 10093 20186 30279 40372 60558 70651 80744 90837 121116 141302 161488 181674 211953 242232 282604 363348 423906 484464 494557 565208 635859 726696 847812 989114 1130416 1271718 1453392 1483671 1695624 1978228 2543436 2967342 3391248 3956456 4451013 5086872 5934684 7912912 8902026 10173744 11869368 17804052 23738736 35608104 71216208