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82204860 = 22351783971
BaseRepresentation
bin1001110011001…
…01100010111100
312201200102212110
410321211202330
5132021023420
612053534020
72015505213
oct471454274
9181612773
1082204860
1142447801
1223644310
1314052b3a
14acbc07a
15733bee0
hex4e658bc

82204860 has 96 divisors (see below), whose sum is σ = 246903552. Its totient is φ = 20362240.

The previous prime is 82204841. The next prime is 82204873. The reversal of 82204860 is 6840228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 84175 + ... + 85145.

It is an arithmetic number, because the mean of its divisors is an integer number (2571912).

Almost surely, 282204860 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 82204860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123451776).

82204860 is an abundant number, since it is smaller than the sum of its proper divisors (164698692).

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

82204860 is a wasteful number, since it uses less digits than its factorization.

82204860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82204860 is about 9066.6895833044. The cubic root of 82204860 is about 434.8096405831.

The spelling of 82204860 in words is "eighty-two million, two hundred four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 498 510 830 971 996 1020 1245 1411 1660 1942 2490 2822 2913 3884 4233 4855 4980 5644 5826 7055 8466 9710 11652 14110 14565 16507 16932 19420 21165 28220 29130 33014 42330 49521 58260 66028 80593 82535 84660 99042 161186 165070 198084 241779 247605 322372 330140 402965 483558 495210 805930 967116 990420 1208895 1370081 1611860 2417790 2740162 4110243 4835580 5480324 6850405 8220486 13700810 16440972 20551215 27401620 41102430 82204860