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82420602 = 231121071061
BaseRepresentation
bin1001110100110…
…10001101111010
312202002101210220
410322122031322
5132044424402
612102320510
72020364205
oct472321572
9182071726
1082420602
1142584900
1223729136
13140ca0b4
14ad3693c
157380dbc
hex4e9a37a

82420602 has 48 divisors (see below), whose sum is σ = 183054816. Its totient is φ = 24719200.

The previous prime is 82420601. The next prime is 82420627. The reversal of 82420602 is 20602428.

It is not an unprimeable number, because it can be changed into a prime (82420601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77152 + ... + 78212.

It is an arithmetic number, because the mean of its divisors is an integer number (3813642).

Almost surely, 282420602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82420602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91527408).

82420602 is an abundant number, since it is smaller than the sum of its proper divisors (100634214).

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

82420602 is a wasteful number, since it uses less digits than its factorization.

82420602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82420602 is about 9078.5792941407. The cubic root of 82420602 is about 435.1896860672.

The spelling of 82420602 in words is "eighty-two million, four hundred twenty thousand, six hundred two".

Divisors: 1 2 3 6 11 22 33 66 107 121 214 242 321 363 642 726 1061 1177 2122 2354 3183 3531 6366 7062 11671 12947 23342 25894 35013 38841 70026 77682 113527 128381 227054 256762 340581 385143 681162 770286 1248797 2497594 3746391 7492782 13736767 27473534 41210301 82420602