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81984276 = 22321132959
BaseRepresentation
bin1001110001011…
…11101100010100
312201021020021200
410320233230110
5131441444101
612045112500
72013566133
oct470575424
9181236250
1081984276
1142307000
1223558730
1313ca660a
14ac6191a
1572e6986
hex4e2fb14

81984276 has 144 divisors (see below), whose sum is σ = 239803200. Its totient is φ = 23580480.

The previous prime is 81984271. The next prime is 81984283. The reversal of 81984276 is 67248918.

It is a super-2 number, since 2×819842762 = 13442843022488352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81984271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389535 + ... + 1389593.

It is an arithmetic number, because the mean of its divisors is an integer number (1665300).

Almost surely, 281984276 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 81984276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119901600).

81984276 is an abundant number, since it is smaller than the sum of its proper divisors (157818924).

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

81984276 is a wasteful number, since it uses less digits than its factorization.

81984276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 81984276 is about 9054.5168838542. The cubic root of 81984276 is about 434.4203774412.

It can be divided in two parts, 819842 and 76, that added together give a palindrome (819918).

The spelling of 81984276 in words is "eighty-one million, nine hundred eighty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 59 66 87 99 116 118 121 132 174 177 198 236 242 261 319 348 354 363 396 484 522 531 638 649 708 726 957 1044 1062 1089 1276 1298 1331 1452 1711 1914 1947 2124 2178 2596 2662 2871 3422 3509 3828 3894 3993 4356 5133 5324 5742 5841 6844 7018 7139 7788 7986 10266 10527 11484 11682 11979 14036 14278 15399 15972 18821 20532 21054 21417 23364 23958 28556 30798 31581 37642 38599 42108 42834 47916 56463 61596 63162 64251 75284 77198 78529 85668 112926 115797 126324 128502 154396 157058 169389 207031 225852 231594 235587 257004 314116 338778 347391 414062 463188 471174 621093 677556 694782 706761 828124 942348 1242186 1389564 1413522 1863279 2277341 2484372 2827044 3726558 4554682 6832023 7453116 9109364 13664046 20496069 27328092 40992138 81984276