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82678068 = 223211281743
BaseRepresentation
bin1001110110110…
…01000100110100
312202120110222200
410323121010310
5132131144233
612112024500
72022515634
oct473310464
9182513880
1082678068
1142740290
1223832130
131418a345
14ada26c4
1573d2313
hex4ed9134

82678068 has 72 divisors (see below), whose sum is σ = 229110336. Its totient is φ = 24931200.

The previous prime is 82678051. The next prime is 82678081. The reversal of 82678068 is 86087628.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 110905 + ... + 111647.

It is an arithmetic number, because the mean of its divisors is an integer number (3182088).

Almost surely, 282678068 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 82678068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114555168).

82678068 is an abundant number, since it is smaller than the sum of its proper divisors (146432268).

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

82678068 is a wasteful number, since it uses less digits than its factorization.

82678068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 82678068 is about 9092.7480994472. The cubic root of 82678068 is about 435.6423644692.

The spelling of 82678068 in words is "eighty-two million, six hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 743 843 1124 1486 1686 2229 2529 2972 3091 3372 4458 5058 6182 6687 8173 8916 9273 10116 12364 13374 16346 18546 24519 26748 27819 32692 37092 49038 55638 73557 98076 111276 147114 208783 294228 417566 626349 835132 1252698 1879047 2296613 2505396 3758094 4593226 6889839 7516188 9186452 13779678 20669517 27559356 41339034 82678068