Search a number
-
+
81806592 = 283715217
BaseRepresentation
bin1001110000001…
…00010100000000
312200221012112210
410320010110000
5131420302332
612041222120
72012226120
oct470042400
9180835483
1081806592
11421a555a
1223491940
1313c4378a
14ac16c80
1572adecc
hex4e04500

81806592 has 72 divisors (see below), whose sum is σ = 248844736. Its totient is φ = 23371776.

The previous prime is 81806579. The next prime is 81806611. The reversal of 81806592 is 29560818.

It is a self number, because there is not a number n which added to its sum of digits gives 81806592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233 + ... + 12984.

Almost surely, 281806592 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 81806592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124422368).

81806592 is an abundant number, since it is smaller than the sum of its proper divisors (167038144).

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

81806592 is a wasteful number, since it uses less digits than its factorization.

81806592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243 (or 15229 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 81806592 is about 9044.6996633387. The cubic root of 81806592 is about 434.1063116004.

The spelling of 81806592 in words is "eighty-one million, eight hundred six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 15217 30434 45651 60868 91302 106519 121736 182604 213038 243472 319557 365208 426076 486944 639114 730416 852152 973888 1278228 1460832 1704304 1947776 2556456 2921664 3408608 3895552 5112912 5843328 6817216 10225824 11686656 13634432 20451648 27268864 40903296 81806592