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82206208 = 29722937
BaseRepresentation
bin1001110011001…
…01111000000000
312201200111201101
410321211320000
5132021044313
612053544144
72015512150
oct471457000
9181614641
1082206208
1142448817
1223645054
1314053636
14acbc760
15733c5dd
hex4e65e00

82206208 has 40 divisors (see below), whose sum is σ = 187724592. Its totient is φ = 35229696.

The previous prime is 82206199. The next prime is 82206247. The reversal of 82206208 is 80260228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7885 + ... + 15052.

Almost surely, 282206208 is an apocalyptic number.

It is an amenable number.

82206208 is an abundant number, since it is smaller than the sum of its proper divisors (105518384).

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

82206208 is an equidigital number, since it uses as much as digits as its factorization.

82206208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962 (or 22946 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 82206208 is about 9066.7639210470. The cubic root of 82206208 is about 434.8120172479.

The spelling of 82206208 in words is "eighty-two million, two hundred six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 22937 45874 91748 160559 183496 321118 366992 642236 733984 1284472 1467968 2568944 2935936 5137888 5871872 10275776 11743744 20551552 41103104 82206208