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81832436 = 22723314099
BaseRepresentation
bin1001110000010…
…10100111110100
312200222111222222
410320022213310
5131422114221
612041541512
72012364350
oct470124764
9180874888
1081832436
1142212a14
12234a4898
1313c5247a
14ac22460
1572b69ab
hex4e0a9f4

81832436 has 48 divisors (see below), whose sum is σ = 176332800. Its totient is φ = 32456160.

The previous prime is 81832427. The next prime is 81832447. The reversal of 81832436 is 63423818.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 81832396 and 81832405.

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 15 ways as a sum of consecutive naturals, for example, 17915 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (3673600).

Almost surely, 281832436 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 81832436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88166400).

81832436 is an abundant number, since it is smaller than the sum of its proper divisors (94500364).

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

81832436 is a wasteful number, since it uses less digits than its factorization.

81832436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4162 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 81832436 is about 9046.1282325645. The cubic root of 81832436 is about 434.1520204771.

The spelling of 81832436 in words is "eighty-one million, eight hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2852 4099 4991 8198 9982 16396 19964 28693 57386 94277 114772 127069 188554 254138 377108 508276 659939 889483 1319878 1778966 2639756 2922587 3557932 5845174 11690348 20458109 40916218 81832436