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81787806 = 2344359199
BaseRepresentation
bin1001101111111…
…11101110011110
312200220020210000
410313333232132
5131414202211
612040555130
72012120262
oct467775636
9180806700
1081787806
1142192431
1223482aa6
1313c38069
14ac100a2
1572a8656
hex4dffb9e

81787806 has 80 divisors (see below), whose sum is σ = 191664000. Its totient is φ = 26045712.

The previous prime is 81787789. The next prime is 81787807. The reversal of 81787806 is 60878718.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81787807) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410895 + ... + 411093.

It is an arithmetic number, because the mean of its divisors is an integer number (2395800).

Almost surely, 281787806 is an apocalyptic number.

81787806 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 81787806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95832000).

81787806 is an abundant number, since it is smaller than the sum of its proper divisors (109876194).

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

81787806 is a wasteful number, since it uses less digits than its factorization.

81787806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 81787806 is about 9043.6610949327. The cubic root of 81787806 is about 434.0730797817.

The spelling of 81787806 in words is "eighty-one million, seven hundred eighty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 59 81 86 118 129 162 177 199 258 354 387 398 531 597 774 1062 1161 1194 1593 1791 2322 2537 3186 3483 3582 4779 5074 5373 6966 7611 8557 9558 10746 11741 15222 16119 17114 22833 23482 25671 32238 35223 45666 51342 68499 70446 77013 105669 136998 154026 205497 211338 231039 317007 410994 462078 504863 634014 693117 951021 1009726 1386234 1514589 1902042 3029178 4543767 9087534 13631301 27262602 40893903 81787806