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82256080 = 2451028201
BaseRepresentation
bin1001110011100…
…10000011010000
312201210001010111
410321302003100
5132024143310
612055011104
72016110434
oct471620320
9181701114
1082256080
1142482235
1223669a94
131407024a
14acd29c4
15734c28a
hex4e720d0

82256080 has 20 divisors (see below), whose sum is σ = 191245572. Its totient is φ = 32902400.

The previous prime is 82256059. The next prime is 82256099. The reversal of 82256080 is 8065228.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 37258816 = 6708^2 + 6104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 514021 + ... + 514180.

Almost surely, 282256080 is an apocalyptic number.

82256080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82256080 is an abundant number, since it is smaller than the sum of its proper divisors (108989492).

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

82256080 is a wasteful number, since it uses less digits than its factorization.

82256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028214 (or 1028208 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 82256080 is about 9069.5137686648. The cubic root of 82256080 is about 434.8999285372.

The spelling of 82256080 in words is "eighty-two million, two hundred fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1028201 2056402 4112804 5141005 8225608 10282010 16451216 20564020 41128040 82256080