Search a number
-
+
71216808 = 233131729463
BaseRepresentation
bin1000011111010…
…10111010101000
311222000012002120
410033222322220
5121212414213
611022231240
71523222115
oct417527250
9158005076
1071216808
1137222273
121ba25520
13119a6630
14965b90c
1563bb423
hex43eaea8

71216808 has 128 divisors (see below), whose sum is σ = 210470400. Its totient is φ = 19869696.

The previous prime is 71216777. The next prime is 71216813. The reversal of 71216808 is 80861217.

It is a happy number.

71216808 is nontrivially palindromic in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153585 + ... + 154047.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 271216808 is an apocalyptic number.

71216808 is a gapful number since it is divisible by the number (78) 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 71216808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

71216808 is an abundant number, since it is smaller than the sum of its proper divisors (139253592).

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

71216808 is a wasteful number, since it uses less digits than its factorization.

71216808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 71216808 is about 8439.0051546376. The cubic root of 71216808 is about 414.5028313503.

The spelling of 71216808 in words is "seventy-one million, two hundred sixteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 29 34 39 51 52 58 68 78 87 102 104 116 136 156 174 204 221 232 312 348 377 408 442 463 493 663 696 754 884 926 986 1131 1326 1389 1479 1508 1768 1852 1972 2262 2652 2778 2958 3016 3704 3944 4524 5304 5556 5916 6019 6409 7871 9048 11112 11832 12038 12818 13427 15742 18057 19227 23613 24076 25636 26854 31484 36114 38454 40281 47226 48152 51272 53708 62968 72228 76908 80562 94452 102323 107416 144456 153816 161124 174551 188904 204646 228259 306969 322248 349102 409292 456518 523653 613938 684777 698204 818584 913036 1047306 1227876 1369554 1396408 1826072 2094612 2455752 2739108 2967367 4189224 5478216 5934734 8902101 11869468 17804202 23738936 35608404 71216808