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81963744 = 2532959499
BaseRepresentation
bin1001110001010…
…10101011100000
312201020012010020
410320222223200
5131440314434
612044433440
72013452232
oct470525340
9181205106
1081963744
11422a2635
1223548880
1313c9a175
14ac58252
1572e0849
hex4e2aae0

81963744 has 96 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 25880064.

The previous prime is 81963727. The next prime is 81963751. The reversal of 81963744 is 44736918.

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

It is a junction number, because it is equal to n+sod(n) for n = 81963696 and 81963705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164007 + ... + 164505.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 281963744 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 81963744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400000).

81963744 is an abundant number, since it is smaller than the sum of its proper divisors (144836256).

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

81963744 is a wasteful number, since it uses less digits than its factorization.

81963744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 81963744 is about 9053.3830141003. The cubic root of 81963744 is about 434.3841092512.

The spelling of 81963744 in words is "eighty-one million, nine hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 87 96 116 118 174 177 232 236 348 354 464 472 499 696 708 928 944 998 1392 1416 1497 1711 1888 1996 2784 2832 2994 3422 3992 5133 5664 5988 6844 7984 10266 11976 13688 14471 15968 20532 23952 27376 28942 29441 41064 43413 47904 54752 57884 58882 82128 86826 88323 115768 117764 164256 173652 176646 231536 235528 347304 353292 463072 471056 694608 706584 853789 942112 1389216 1413168 1707578 2561367 2826336 3415156 5122734 6830312 10245468 13660624 20490936 27321248 40981872 81963744