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82399668 = 22313241991
BaseRepresentation
bin1001110100101…
…01000110110100
312202001100002120
410322111012310
5132043242133
612102035540
72020246161
oct472250664
9182040076
1082399668
11425700aa
1223718bb0
13140c0700
14ad2d068
157379ab3
hex4e951b4

82399668 has 72 divisors (see below), whose sum is σ = 213486336. Its totient is φ = 24710400.

The previous prime is 82399651. The next prime is 82399711. The reversal of 82399668 is 86699328.

It is a self number, because there is not a number n which added to its sum of digits gives 82399668.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82653 + ... + 83643.

It is an arithmetic number, because the mean of its divisors is an integer number (2965088).

Almost surely, 282399668 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 82399668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106743168).

82399668 is an abundant number, since it is smaller than the sum of its proper divisors (131086668).

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

82399668 is a wasteful number, since it uses less digits than its factorization.

82399668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 82399668 is about 9077.4262872248. The cubic root of 82399668 is about 435.1528383533.

The spelling of 82399668 in words is "eighty-two million, three hundred ninety-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 169 246 338 492 507 533 676 991 1014 1066 1599 1982 2028 2132 2973 3198 3964 5946 6396 6929 11892 12883 13858 20787 25766 27716 38649 40631 41574 51532 77298 81262 83148 121893 154596 162524 167479 243786 334958 487572 502437 528203 669916 1004874 1056406 1584609 2009748 2112812 3169218 6338436 6866639 13733278 20599917 27466556 41199834 82399668