Search a number
-
+
82978662 = 23132195973
BaseRepresentation
bin1001111001000…
…10011101100110
312210010202022210
410330202131212
5132220304122
612122304250
72025210204
oct474423546
9183122283
1082978662
1142926108
1223958086
1314264100
14b040074
15744140c
hex4f22766

82978662 has 96 divisors (see below), whose sum is σ = 195004800. Its totient is φ = 23452416.

The previous prime is 82978631. The next prime is 82978673. The reversal of 82978662 is 26687928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136658 + ... + 1136730.

It is an arithmetic number, because the mean of its divisors is an integer number (2031300).

Almost surely, 282978662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82978662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97502400).

82978662 is an abundant number, since it is smaller than the sum of its proper divisors (112026138).

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

82978662 is a wasteful number, since it uses less digits than its factorization.

82978662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 82978662 is about 9109.2624289785. The cubic root of 82978662 is about 436.1696832734.

The spelling of 82978662 in words is "eighty-two million, nine hundred seventy-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 73 78 114 118 146 169 177 219 247 338 354 438 494 507 741 767 949 1014 1121 1387 1482 1534 1898 2242 2301 2774 2847 3211 3363 4161 4307 4602 5694 6422 6726 8322 8614 9633 9971 12337 12921 14573 18031 19266 19942 24674 25842 29146 29913 36062 37011 43719 54093 55991 59826 74022 81833 87438 108186 111982 163666 167973 189449 234403 245499 335946 378898 468806 490998 568347 703209 727883 1063829 1136694 1406418 1455766 2127658 2183649 3191487 4367298 6382974 13829777 27659554 41489331 82978662