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82006488 = 23321138979
BaseRepresentation
bin1001110001101…
…01000111011000
312201022100202100
410320311013120
5131443201423
612045403400
72014020654
oct470650730
9181270670
1082006488
1142321763
1223569560
1313cb3765
14ac69a64
1572ed343
hex4e351d8

82006488 has 24 divisors (see below), whose sum is σ = 222101100. Its totient is φ = 27335472.

The previous prime is 82006429. The next prime is 82006511. The reversal of 82006488 is 88460028.

82006488 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 648 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 569418 + ... + 569561.

Almost surely, 282006488 is an apocalyptic number.

It is an amenable number.

82006488 is an abundant number, since it is smaller than the sum of its proper divisors (140094612).

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

82006488 is a wasteful number, since it uses less digits than its factorization.

82006488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138991 (or 1138984 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82006488 is about 9055.7433709221. The cubic root of 82006488 is about 434.4596064031.

The spelling of 82006488 in words is "eighty-two million, six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1138979 2277958 3416937 4555916 6833874 9111832 10250811 13667748 20501622 27335496 41003244 82006488