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82427860 = 225232937167
BaseRepresentation
bin1001110100110…
…11111111010100
312202002202202201
410322123333110
5132100142420
612102414244
72020424314
oct472337724
9182082681
1082427860
114258a2a9
1223731384
13141004a8
14ad39444
15738310a
hex4e9bfd4

82427860 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 29449728.

The previous prime is 82427857. The next prime is 82427887. The reversal of 82427860 is 6872428.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 31 ways as a sum of consecutive naturals, for example, 493497 + ... + 493663.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 282427860 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 82427860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

82427860 is an abundant number, since it is smaller than the sum of its proper divisors (110624300).

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

82427860 is a wasteful number, since it uses less digits than its factorization.

82427860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 82427860 is about 9078.9790174887. The cubic root of 82427860 is about 435.2024600338.

The spelling of 82427860 in words is "eighty-two million, four hundred twenty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 23 29 37 46 58 74 92 115 116 145 148 167 185 230 290 334 370 460 580 667 668 740 835 851 1073 1334 1670 1702 2146 2668 3335 3340 3404 3841 4255 4292 4843 5365 6179 6670 7682 8510 9686 10730 12358 13340 15364 17020 19205 19372 21460 24215 24679 24716 30895 38410 48430 49358 61790 76820 96860 98716 111389 123395 123580 142117 179191 222778 246790 284234 358382 445556 493580 556945 568468 710585 716764 895955 1113890 1421170 1791910 2227780 2842340 3583820 4121393 8242786 16485572 20606965 41213930 82427860