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81083184 = 24371319977
BaseRepresentation
bin1001101010100…
…11101100110000
312122120110012220
410311103230300
5131224130214
612013521040
72003124060
oct465235460
9178513186
1081083184
1141850aa6
12231a3180
1313a4c420
14aaa93a0
1571b99a9
hex4d53b30

81083184 has 160 divisors (see below), whose sum is σ = 271649280. Its totient is φ = 20238336.

The previous prime is 81083153. The next prime is 81083201. The reversal of 81083184 is 48138018.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82504 + ... + 83480.

It is an arithmetic number, because the mean of its divisors is an integer number (1697808).

Almost surely, 281083184 is an apocalyptic number.

81083184 is a gapful number since it is divisible by the number (84) 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 81083184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135824640).

81083184 is an abundant number, since it is smaller than the sum of its proper divisors (190566096).

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

81083184 is a wasteful number, since it uses less digits than its factorization.

81083184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 81083184 is about 9004.6201474576. The cubic root of 81083184 is about 432.8229341079.

The spelling of 81083184 in words is "eighty-one million, eighty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 977 988 1064 1092 1456 1482 1596 1729 1954 1976 2128 2184 2931 2964 3192 3458 3908 3952 4368 5187 5862 5928 6384 6839 6916 7816 10374 11724 11856 12701 13678 13832 15632 18563 20517 20748 23448 25402 27356 27664 37126 38103 41034 41496 46896 50804 54712 55689 74252 76206 82068 82992 88907 101608 109424 111378 129941 148504 152412 164136 177814 203216 222756 241319 259882 266721 297008 304824 328272 355628 389823 445512 482638 519764 533442 609648 711256 723957 779646 891024 965276 1039528 1066884 1422512 1447914 1559292 1689233 1930552 2079056 2133768 2895828 3118584 3378466 3861104 4267536 5067699 5791656 6237168 6756932 10135398 11583312 13513864 20270796 27027728 40541592 81083184