Search a number
-
+
82479696 = 243131311009
BaseRepresentation
bin1001110101010…
…00101001010000
312202012101212120
410322220221100
5132103322241
612103454240
72021031405
oct472505120
9182171776
1082479696
1142615242
1223757380
131411ac70
14ad502ac
157393666
hex4ea8a50

82479696 has 80 divisors (see below), whose sum is σ = 231443520. Its totient is φ = 25159680.

The previous prime is 82479671. The next prime is 82479701. The reversal of 82479696 is 69697428.

It is a happy number.

It is a congruent number.

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, 81240 + ... + 82248.

It is an arithmetic number, because the mean of its divisors is an integer number (2893044).

Almost surely, 282479696 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 82479696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115721760).

82479696 is an abundant number, since it is smaller than the sum of its proper divisors (148963824).

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

82479696 is a wasteful number, since it uses less digits than its factorization.

82479696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 82479696 is about 9081.8332951007. The cubic root of 82479696 is about 435.2936687888.

The spelling of 82479696 in words is "eighty-two million, four hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 262 312 393 524 624 786 1009 1048 1572 1703 2018 2096 3027 3144 3406 4036 5109 6054 6288 6812 8072 10218 12108 13117 13624 16144 20436 24216 26234 27248 39351 40872 48432 52468 78702 81744 104936 132179 157404 209872 264358 314808 396537 528716 629616 793074 1057432 1586148 1718327 2114864 3172296 3436654 5154981 6344592 6873308 10309962 13746616 20619924 27493232 41239848 82479696