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81851000 = 23537111063
BaseRepresentation
bin1001110000011…
…11001001111000
312201000110110112
410320033021320
5131423213000
612042203452
72012502440
oct470171170
9181013415
1081851000
1142225960
12234b3588
1313c5aa5a
14ac29120
1572bc235
hex4e0f278

81851000 has 128 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 25488000.

The previous prime is 81850999. The next prime is 81851083. The reversal of 81851000 is 15818.

It is a congruent 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, 76469 + ... + 77531.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 281851000 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 81851000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

81851000 is an abundant number, since it is smaller than the sum of its proper divisors (157165960).

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

81851000 is a wasteful number, since it uses less digits than its factorization.

81851000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 81851000 is about 9047.1542487127. The cubic root of 81851000 is about 434.1848476751.

Adding to 81851000 its reverse (15818), we get a palindrome (81866818).

The spelling of 81851000 in words is "eighty-one million, eight hundred fifty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1063 1100 1375 1400 1540 1750 1925 2126 2200 2750 3080 3500 3850 4252 5315 5500 7000 7441 7700 8504 9625 10630 11000 11693 14882 15400 19250 21260 23386 26575 29764 37205 38500 42520 46772 53150 58465 59528 74410 77000 81851 93544 106300 116930 132875 148820 163702 186025 212600 233860 265750 292325 297640 327404 372050 409255 467720 531500 584650 654808 744100 818510 930125 1063000 1169300 1461625 1488200 1637020 1860250 2046275 2338600 2923250 3274040 3720500 4092550 5846500 7441000 8185100 10231375 11693000 16370200 20462750 40925500 81851000