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445682874 = 237134143463
BaseRepresentation
bin11010100100001…
…001010010111010
31011001122000222010
4122210021102322
51403043322444
6112120310350
714021145660
oct3244112272
91131560863
10445682874
1120963815a
121053123b6
13714479a0
1443296c30
15291d92b9
hex1a9094ba

445682874 has 128 divisors (see below), whose sum is σ = 1152442368. Its totient is φ = 111767040.

The previous prime is 445682869. The next prime is 445682899. The reversal of 445682874 is 478286544.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962367 + ... + 962829.

It is an arithmetic number, because the mean of its divisors is an integer number (9003456).

Almost surely, 2445682874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445682874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576221184).

445682874 is an abundant number, since it is smaller than the sum of its proper divisors (706759494).

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

445682874 is a wasteful number, since it uses less digits than its factorization.

445682874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572.

The product of its digits is 1720320, while the sum is 48.

The square root of 445682874 is about 21111.2025711469. The cubic root of 445682874 is about 763.8509949901.

The spelling of 445682874 in words is "four hundred forty-five million, six hundred eighty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 43 78 82 86 91 123 129 182 246 258 273 287 301 463 533 546 559 574 602 861 903 926 1066 1118 1389 1599 1677 1722 1763 1806 2778 3198 3241 3354 3526 3731 3913 5289 6019 6482 7462 7826 9723 10578 11193 11739 12038 12341 18057 18983 19446 19909 22386 22919 23478 24682 36114 37023 37966 39818 42133 45838 56949 59727 68757 74046 84266 113898 119454 126399 132881 137514 139363 160433 246779 252798 258817 265762 278726 320866 398643 418089 481299 493558 517634 740337 776451 797286 816269 836178 962598 1480674 1552902 1632538 1727453 1811719 2448807 3454906 3623438 4897614 5182359 5435157 5713883 10364718 10611497 10870314 11427766 17141649 21222994 31834491 34283298 63668982 74280479 148560958 222841437 445682874