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82014444 = 223584377
BaseRepresentation
bin1001110001101…
…11000011101100
312201022202200000
410320313003230
5131443430234
612045504300
72014053111
oct470670354
9181282600
1082014444
1142327736
1223572090
1313cb7275
14ac6c908
157300899
hex4e370ec

82014444 has 36 divisors (see below), whose sum is σ = 214995144. Its totient is φ = 27337824.

The previous prime is 82014433. The next prime is 82014497. The reversal of 82014444 is 44441028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 41217 + ... + 43160.

Almost surely, 282014444 is an apocalyptic number.

It is an amenable number.

82014444 is an abundant number, since it is smaller than the sum of its proper divisors (132980700).

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

82014444 is a wasteful number, since it uses less digits than its factorization.

82014444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84396 (or 84382 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 82014444 is about 9056.1826395010. The cubic root of 82014444 is about 434.4736558966.

The spelling of 82014444 in words is "eighty-two million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 84377 168754 253131 337508 506262 759393 1012524 1518786 2278179 3037572 4556358 6834537 9112716 13669074 20503611 27338148 41007222 82014444