Search a number
-
+
882096 = 243172347
BaseRepresentation
bin11010111010110110000
31122211000020
43113112300
5211211341
630523440
710332465
oct3272660
91584006
10882096
11552806
12366580
1324b667
1418d66c
15126566
hexd75b0

882096 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 259072.

The previous prime is 882083. The next prime is 882103. The reversal of 882096 is 690288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18745 + ... + 18791.

2882096 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 882096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

882096 is an abundant number, since it is smaller than the sum of its proper divisors (1689168).

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

882096 is a wasteful number, since it uses less digits than its factorization.

882096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 882096 is about 939.1996592844. The cubic root of 882096 is about 95.9044187562.

The spelling of 882096 in words is "eight hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 47 48 51 68 69 92 94 102 136 138 141 184 188 204 272 276 282 368 376 391 408 552 564 752 782 799 816 1081 1104 1128 1173 1564 1598 2162 2256 2346 2397 3128 3196 3243 4324 4692 4794 6256 6392 6486 8648 9384 9588 12784 12972 17296 18377 18768 19176 25944 36754 38352 51888 55131 73508 110262 147016 220524 294032 441048 882096