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82660424 = 2371131109
BaseRepresentation
bin1001110110101…
…00110001001000
312202112120210012
410323110301020
5132130113144
612111411052
72022413330
oct473246110
9182476705
1082660424
1142729000
1223823a88
13141822c2
14ad9a0c0
1573cbe9e
hex4ed4c48

82660424 has 64 divisors (see below), whose sum is σ = 195004800. Its totient is φ = 32176320.

The previous prime is 82660373. The next prime is 82660433. The reversal of 82660424 is 42406628.

It is a happy number.

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, 73982 + ... + 75090.

It is an arithmetic number, because the mean of its divisors is an integer number (3046950).

Almost surely, 282660424 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 82660424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97502400).

82660424 is an abundant number, since it is smaller than the sum of its proper divisors (112344376).

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

82660424 is a wasteful number, since it uses less digits than its factorization.

82660424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 82660424 is about 9091.7778239462. Note that the first 3 decimals coincide. The cubic root of 82660424 is about 435.6113726922.

It can be divided in two parts, 826604 and 24, that added together give a palindrome (826628).

The spelling of 82660424 in words is "eighty-two million, six hundred sixty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1109 1331 1694 2218 2662 3388 4436 5324 6776 7763 8872 9317 10648 12199 15526 18634 24398 31052 37268 48796 62104 74536 85393 97592 134189 170786 268378 341572 536756 683144 939323 1073512 1476079 1878646 2952158 3757292 5904316 7514584 10332553 11808632 20665106 41330212 82660424