Search a number
-
+
81382314 = 231337163173
BaseRepresentation
bin1001101100111…
…00101110101010
312200010122112210
410312130232222
5131313213224
612024145550
72005511136
oct466345652
9180118483
1081382314
1141a35812
12233082b6
1313b25620
14ab463c6
157228429
hex4d9cbaa

81382314 has 64 divisors (see below), whose sum is σ = 182173824. Its totient is φ = 24074496.

The previous prime is 81382313. The next prime is 81382319. The reversal of 81382314 is 41328318.

It is not an unprimeable number, because it can be changed into a prime (81382313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470332 + ... + 470504.

It is an arithmetic number, because the mean of its divisors is an integer number (2846466).

Almost surely, 281382314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81382314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91086912).

81382314 is an abundant number, since it is smaller than the sum of its proper divisors (100791510).

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

81382314 is a wasteful number, since it uses less digits than its factorization.

81382314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 4608, while the sum is 30.

The square root of 81382314 is about 9021.2146632258. The cubic root of 81382314 is about 433.3545340055.

The spelling of 81382314 in words is "eighty-one million, three hundred eighty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 163 173 222 326 346 481 489 519 962 978 1038 1443 2119 2249 2886 4238 4498 6031 6357 6401 6747 12062 12714 12802 13494 18093 19203 28199 36186 38406 56398 78403 83213 84597 156806 166426 169194 235209 249639 366587 470418 499278 733174 1043363 1099761 2086726 2199522 3130089 6260178 13563719 27127438 40691157 81382314