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82835000 = 235416567
BaseRepresentation
bin1001110111111…
…11011000111000
312202212110020222
410323333120320
5132201210000
612115235212
72024041313
oct473773070
9182773228
1082835000
1142838186
12238a8b08
13142138c1
14b00397a
157413a85
hex4eff638

82835000 has 40 divisors (see below), whose sum is σ = 194094120. Its totient is φ = 33132000.

The previous prime is 82834987. The next prime is 82835057. The reversal of 82835000 is 53828.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3284 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (4852353).

Almost surely, 282835000 is an apocalyptic number.

It is an amenable number.

82835000 is an abundant number, since it is smaller than the sum of its proper divisors (111259120).

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

82835000 is a wasteful number, since it uses less digits than its factorization.

82835000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16593 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82835000 is about 9101.3735227162. The cubic root of 82835000 is about 435.9178225168.

Adding to 82835000 its reverse (53828), we get a palindrome (82888828).

The spelling of 82835000 in words is "eighty-two million, eight hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 16567 33134 66268 82835 132536 165670 331340 414175 662680 828350 1656700 2070875 3313400 4141750 8283500 10354375 16567000 20708750 41417500 82835000