Search a number
-
+
81732882 = 237211127199
BaseRepresentation
bin1001101111100…
…10010100010010
312200210110102210
410313302110102
5131410423012
612035452550
72011501200
oct467622422
9180713383
1081732882
1142155140
1223457156
1313c1906a
14abd8070
15729723c
hex4df2512

81732882 has 96 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 20956320.

The previous prime is 81732881. The next prime is 81732899. The reversal of 81732882 is 28823718.

It is a self number, because there is not a number n which added to its sum of digits gives 81732882.

It is not an unprimeable number, because it can be changed into a prime (81732881) 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 47 ways as a sum of consecutive naturals, for example, 410619 + ... + 410817.

It is an arithmetic number, because the mean of its divisors is an integer number (2188800).

Almost surely, 281732882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81732882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105062400).

81732882 is an abundant number, since it is smaller than the sum of its proper divisors (128391918).

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

81732882 is a wasteful number, since it uses less digits than its factorization.

81732882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 81732882 is about 9040.6239828897. The cubic root of 81732882 is about 433.9758918277.

The spelling of 81732882 in words is "eighty-one million, seven hundred thirty-two thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 127 147 154 199 231 254 294 381 398 462 539 597 762 889 1078 1194 1393 1397 1617 1778 2189 2667 2786 2794 3234 4179 4191 4378 5334 6223 6567 8358 8382 9751 9779 12446 13134 15323 18669 19502 19558 25273 29253 29337 30646 37338 45969 50546 58506 58674 68453 75819 91938 107261 136906 151638 176911 205359 214522 278003 321783 353822 410718 530733 556006 643566 834009 1061466 1238377 1668018 1946021 2476754 3715131 3892042 5838063 7430262 11676126 13622147 27244294 40866441 81732882