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81817992 = 23332343383
BaseRepresentation
bin1001110000001…
…11000110001000
312200221210012000
410320013012020
5131421133432
612041351000
72012304264
oct470070610
9180853160
1081817992
1142203083
1223498460
1313c48a19
14ac1b0a4
1572b257c
hex4e07188

81817992 has 128 divisors (see below), whose sum is σ = 243302400. Its totient is φ = 25413696.

The previous prime is 81817963. The next prime is 81817999. The reversal of 81817992 is 29971818.

It is not an unprimeable number, because it can be changed into a prime (81817999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213433 + ... + 213815.

It is an arithmetic number, because the mean of its divisors is an integer number (1900800).

Almost surely, 281817992 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 81817992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

81817992 is an abundant number, since it is smaller than the sum of its proper divisors (161484408).

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

81817992 is a wasteful number, since it uses less digits than its factorization.

81817992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 81817992 is about 9045.3298447320. The cubic root of 81817992 is about 434.1264753466.

The spelling of 81817992 in words is "eighty-one million, eight hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 43 46 54 69 72 86 92 108 129 138 172 184 207 216 258 276 344 383 387 414 516 552 621 766 774 828 989 1032 1149 1161 1242 1532 1548 1656 1978 2298 2322 2484 2967 3064 3096 3447 3956 4596 4644 4968 5934 6894 7912 8809 8901 9192 9288 10341 11868 13788 16469 17618 17802 20682 23736 26427 26703 27576 32938 35236 35604 41364 49407 52854 53406 65876 70472 71208 79281 82728 98814 105708 106812 131752 148221 158562 197628 211416 213624 237843 296442 317124 378787 395256 444663 475686 592884 634248 757574 889326 951372 1136361 1185768 1515148 1778652 1902744 2272722 3030296 3409083 3557304 4545444 6818166 9090888 10227249 13636332 20454498 27272664 40908996 81817992