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82044963 = 327211131301
BaseRepresentation
bin1001110001111…
…10100000100011
312201101022112100
410320332200203
5132000414323
612050301443
72014241100
oct470764043
9181338470
1082044963
1142348660
1223587883
1313cc8120
14ac79aa7
157309943
hex4e3e823

82044963 has 72 divisors (see below), whose sum is σ = 162083376. Its totient is φ = 39312000.

The previous prime is 82044931. The next prime is 82044967. The reversal of 82044963 is 36944028.

It is a happy number.

It is not a de Polignac number, because 82044963 - 25 = 82044931 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82044967) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 62413 + ... + 63713.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 282044963 is an apocalyptic number.

82044963 is a deficient number, since it is larger than the sum of its proper divisors (80038413).

82044963 is a wasteful number, since it uses less digits than its factorization.

82044963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82044963 is about 9057.8674642545. The cubic root of 82044963 is about 434.5275409460.

The spelling of 82044963 in words is "eighty-two million, forty-four thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1301 1617 1911 3003 3903 4851 5733 7007 9009 9107 11709 14311 16913 21021 27321 42933 50739 63063 63749 81963 100177 118391 128799 152217 186043 191247 300531 355173 558129 573741 701239 828737 901593 1065519 1302301 1674387 2103717 2486211 3906903 6311151 7458633 9116107 11720709 27348321 82044963