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81829602 = 2341743691
BaseRepresentation
bin1001110000010…
…01111011100010
312200222101010000
410320021323202
5131422021402
612041520430
72012353161
oct470117342
9180871100
1081829602
1142210878
12234a3116
1313c510aa
14ac213d8
1572b5c1c
hex4e09ee2

81829602 has 80 divisors (see below), whose sum is σ = 198947232. Its totient is φ = 25038720.

The previous prime is 81829589. The next prime is 81829603. The reversal of 81829602 is 20692818.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (81829603) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 118077 + ... + 118767.

Almost surely, 281829602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81829602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99473616).

81829602 is an abundant number, since it is smaller than the sum of its proper divisors (117117630).

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

81829602 is a wasteful number, since it uses less digits than its factorization.

81829602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 81829602 is about 9045.9715896083. The cubic root of 81829602 is about 434.1470086054.

The spelling of 81829602 in words is "eighty-one million, eight hundred twenty-nine thousand, six hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 81 86 102 129 153 162 258 306 387 459 691 731 774 918 1161 1377 1382 1462 2073 2193 2322 2754 3483 4146 4386 6219 6579 6966 11747 12438 13158 18657 19737 23494 29713 35241 37314 39474 55971 59211 59426 70482 89139 105723 111942 118422 178278 211446 267417 317169 505121 534834 634338 802251 951507 1010242 1515363 1604502 1903014 2406753 3030726 4546089 4813506 9092178 13638267 27276534 40914801 81829602