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81311850 = 23452171181
BaseRepresentation
bin1001101100010…
…11100001101010
312200000001220000
410312023201222
5131303434400
612022443430
72005065534
oct466134152
9180001800
1081311850
1141997884
1223293576
1313acc529
14ab28854
157212600
hex4d8b86a

81311850 has 120 divisors (see below), whose sum is σ = 239418828. Its totient is φ = 20390400.

The previous prime is 81311837. The next prime is 81311861. The reversal of 81311850 is 5811318.

It can be written as a sum of positive squares in 6 ways, for example, as 60326289 + 20985561 = 7767^2 + 4581^2 .

It is a super-2 number, since 2×813118502 = 13223233900845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 68260 + ... + 69440.

Almost surely, 281311850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81311850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119709414).

81311850 is an abundant number, since it is smaller than the sum of its proper divisors (158106978).

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

81311850 is a wasteful number, since it uses less digits than its factorization.

81311850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 81311850 is about 9017.3083567104. The cubic root of 81311850 is about 433.2294261056.

The spelling of 81311850 in words is "eighty-one million, three hundred eleven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 450 459 510 675 765 810 850 918 1181 1275 1350 1377 1530 2025 2295 2362 2550 2754 3543 3825 4050 4590 5905 6885 7086 7650 10629 11475 11810 13770 17715 20077 21258 22950 29525 31887 34425 35430 40154 53145 59050 60231 63774 68850 88575 95661 100385 106290 120462 159435 177150 180693 191322 200770 265725 301155 318870 361386 478305 501925 531450 542079 602310 797175 903465 956610 1003850 1084158 1505775 1594350 1626237 1806930 2391525 2710395 3011550 3252474 4517325 4783050 5420790 8131185 9034650 13551975 16262370 27103950 40655925 81311850