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82210674 = 23713172521
BaseRepresentation
bin1001110011001…
…10111101110010
312201200201211210
410321212331302
5132021220144
612054020550
72015531160
oct471467562
9181621753
1082210674
1142451107
1223647756
1314055690
14acc0230
15733dab9
hex4e66f72

82210674 has 96 divisors (see below), whose sum is σ = 215381376. Its totient is φ = 20367360.

The previous prime is 82210669. The next prime is 82210693. The reversal of 82210674 is 47601228.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157534 + ... + 158054.

It is an arithmetic number, because the mean of its divisors is an integer number (2243556).

Almost surely, 282210674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82210674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107690688).

82210674 is an abundant number, since it is smaller than the sum of its proper divisors (133170702).

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

82210674 is a wasteful number, since it uses less digits than its factorization.

82210674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 82210674 is about 9067.0102018251. The cubic root of 82210674 is about 434.8198910867.

The spelling of 82210674 in words is "eighty-two million, two hundred ten thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 289 357 442 521 546 578 663 714 867 1042 1326 1547 1563 1734 2023 3094 3126 3647 3757 4046 4641 6069 6773 7294 7514 8857 9282 10941 11271 12138 13546 17714 20319 21882 22542 26299 26571 40638 47411 52598 53142 61999 78897 94822 115141 123998 142233 150569 157794 185997 230282 284466 301138 345423 371994 451707 690846 805987 903414 1053983 1611974 1957397 2107966 2417961 3161949 3914794 4835922 5872191 6323898 11744382 13701779 27403558 41105337 82210674