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82044522 = 23372101307
BaseRepresentation
bin1001110001111…
…10011001101010
312201101021221000
410320332121222
5132000411042
612050255430
72014236600
oct470763152
9181337830
1082044522
114234829a
1223587576
1313cc7b71
14ac79870
15730974c
hex4e3e66a

82044522 has 96 divisors (see below), whose sum is σ = 214885440. Its totient is φ = 23133600.

The previous prime is 82044467. The next prime is 82044539. The reversal of 82044522 is 22544028.

It is a happy number.

82044522 is a `hidden beast` number, since 8 + 204 + 452 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267093 + ... + 267399.

It is an arithmetic number, because the mean of its divisors is an integer number (2238390).

Almost surely, 282044522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82044522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

82044522 is an abundant number, since it is smaller than the sum of its proper divisors (132840918).

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

82044522 is a wasteful number, since it uses less digits than its factorization.

82044522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 82044522 is about 9057.8431207435. The cubic root of 82044522 is about 434.5267624014.

The spelling of 82044522 in words is "eighty-two million, forty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 147 189 202 294 303 307 378 441 606 614 707 882 909 921 1323 1414 1818 1842 2121 2149 2646 2727 2763 4242 4298 4949 5454 5526 6363 6447 8289 9898 12726 12894 14847 15043 16578 19089 19341 29694 30086 31007 38178 38682 44541 45129 58023 62014 89082 90258 93021 116046 133623 135387 186042 217049 267246 270774 279063 406161 434098 558126 651147 812322 837189 1302294 1519343 1674378 1953441 3038686 3906882 4558029 5860323 9116058 11720646 13674087 27348174 41022261 82044522