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82018068 = 223111075807
BaseRepresentation
bin1001110001101…
…11111100010100
312201022221122020
410320313330110
5131444034233
612045533140
72014066506
oct470677424
9181287566
1082018068
114232a430
12235741b0
1313cb8b02
14ac6dd76
1573019b3
hex4e37f14

82018068 has 48 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 24617440.

The previous prime is 82018043. The next prime is 82018073. The reversal of 82018068 is 86081028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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, 11221 + ... + 17027.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 282018068 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 82018068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

82018068 is an abundant number, since it is smaller than the sum of its proper divisors (128742636).

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

82018068 is a wasteful number, since it uses less digits than its factorization.

82018068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 82018068 is about 9056.3827215948. The cubic root of 82018068 is about 434.4800552138.

The spelling of 82018068 in words is "eighty-two million, eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 5807 7062 11614 14124 17421 23228 34842 63877 69684 127754 191631 255508 383262 621349 766524 1242698 1864047 2485396 3728094 6834839 7456188 13669678 20504517 27339356 41009034 82018068