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82066668 = 22323409727
BaseRepresentation
bin1001110010000…
…11110011101100
312201102102022020
410321003303230
5132002113133
612050550140
72014361265
oct471036354
9181372266
1082066668
11423629a2
1223598350
1314004c78
14ac8396c
1573110b3
hex4e43cec

82066668 has 48 divisors (see below), whose sum is σ = 200578560. Its totient is φ = 26066304.

The previous prime is 82066657. The next prime is 82066679. The reversal of 82066668 is 86666028.

It is an interprime number because it is at equal distance from previous prime (82066657) and next prime (82066679).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112521 + ... + 113247.

It is an arithmetic number, because the mean of its divisors is an integer number (4178720).

Almost surely, 282066668 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 82066668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100289280).

82066668 is an abundant number, since it is smaller than the sum of its proper divisors (118511892).

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

82066668 is a wasteful number, since it uses less digits than its factorization.

82066668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 82066668 is about 9059.0655147206. The cubic root of 82066668 is about 434.5658556634.

The spelling of 82066668 in words is "eighty-two million, sixty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 409 727 818 1227 1454 1636 2181 2454 2908 4362 4908 8724 9407 16721 18814 28221 33442 37628 50163 56442 66884 100326 112884 200652 297343 594686 892029 1189372 1784058 3568116 6838889 13677778 20516667 27355556 41033334 82066668