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82025622 = 23871947
BaseRepresentation
bin1001110001110…
…01110010010110
312201100100000000
410320321302112
5131444304442
612050032130
72014130520
oct470716226
9181310000
1082025622
1142335078
1223578646
1313cbc393
14ac72a10
157303d4c
hex4e39c96

82025622 has 144 divisors (see below), whose sum is σ = 226736640. Its totient is φ = 21730032.

The previous prime is 82025591. The next prime is 82025651. The reversal of 82025622 is 22652028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1745203 + ... + 1745249.

It is an arithmetic number, because the mean of its divisors is an integer number (1574560).

Almost surely, 282025622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82025622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113368320).

82025622 is an abundant number, since it is smaller than the sum of its proper divisors (144711018).

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

82025622 is an equidigital number, since it uses as much as digits as its factorization.

82025622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82025622 is about 9056.7997659217. The cubic root of 82025622 is about 434.4933935820.

It can be divided in two parts, 8202 and 5622, that added together give a cube (13824 = 243).

The spelling of 82025622 in words is "eighty-two million, twenty-five thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 47 54 57 63 81 94 114 126 133 141 162 171 189 243 266 282 329 342 378 399 423 486 513 567 658 729 798 846 893 987 1026 1134 1197 1269 1458 1539 1701 1786 1974 2187 2394 2538 2679 2961 3078 3402 3591 3807 4374 4617 5103 5358 5922 6251 6561 7182 7614 8037 8883 9234 10206 10773 11421 12502 13122 13851 15309 16074 17766 18753 21546 22842 24111 26649 27702 30618 32319 34263 37506 41553 45927 48222 53298 56259 64638 68526 72333 79947 83106 91854 96957 102789 112518 124659 144666 159894 168777 193914 205578 216999 239841 249318 290871 308367 337554 433998 479682 506331 581742 616734 650997 719523 872613 1012662 1301994 1439046 1518993 1745226 1952991 2158569 3037986 3905982 4317138 4556979 5858973 9113958 11717946 13670937 27341874 41012811 82025622