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82702326 = 23719372801
BaseRepresentation
bin1001110110111…
…10111111110110
312202121201021010
410323132333312
5132132433301
612112333050
72022646440
oct473367766
9182551233
1082702326
1142757533
1223844186
13141983b5
14adab490
1573d95d6
hex4edeff6

82702326 has 64 divisors (see below), whose sum is σ = 204433920. Its totient is φ = 21772800.

The previous prime is 82702303. The next prime is 82702369. The reversal of 82702326 is 62320728.

It is a junction number, because it is equal to n+sod(n) for n = 82702293 and 82702302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28126 + ... + 30926.

It is an arithmetic number, because the mean of its divisors is an integer number (3194280).

Almost surely, 282702326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82702326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102216960).

82702326 is an abundant number, since it is smaller than the sum of its proper divisors (121731594).

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

82702326 is a wasteful number, since it uses less digits than its factorization.

82702326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 82702326 is about 9094.0819217775. The cubic root of 82702326 is about 435.6849665738.

It can be divided in two parts, 82702 and 326, that added together give a triangular number (83028 = T407).

The spelling of 82702326 in words is "eighty-two million, seven hundred two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 222 259 266 399 518 703 777 798 1406 1554 2109 2801 4218 4921 5602 8403 9842 14763 16806 19607 29526 39214 53219 58821 103637 106438 117642 159657 207274 310911 319314 372533 621822 725459 745066 1117599 1450918 1969103 2176377 2235198 3938206 4352754 5907309 11814618 13783721 27567442 41351163 82702326