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82814886 = 2357112213
BaseRepresentation
bin1001110111110…
…10011110100110
312202211102200000
410323322132212
5132200034021
612115002130
72023625550
oct473723646
9182742600
1082814886
1142824060
1223899346
13142076bb
14adda4d0
15740cb26
hex4efa7a6

82814886 has 96 divisors (see below), whose sum is σ = 232098048. Its totient is φ = 21500640.

The previous prime is 82814869. The next prime is 82814891. The reversal of 82814886 is 68841828.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36316 + ... + 38528.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 282814886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82814886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116049024).

82814886 is an abundant number, since it is smaller than the sum of its proper divisors (149283162).

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

82814886 is a wasteful number, since it uses less digits than its factorization.

82814886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2236 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82814886 is about 9100.2684575786. The cubic root of 82814886 is about 435.8825364627.

The spelling of 82814886 in words is "eighty-two million, eight hundred fourteen thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2213 2673 3402 4158 4426 5346 6237 6639 12474 13278 15491 18711 19917 24343 30982 37422 39834 46473 48686 59751 73029 92946 119502 139419 146058 170401 179253 219087 278838 340802 358506 418257 438174 511203 537759 657261 836514 1022406 1075518 1254771 1314522 1533609 1971783 2509542 3067218 3764313 3943566 4600827 5915349 7528626 9201654 11830698 13802481 27604962 41407443 82814886