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83820804 = 22397107673
BaseRepresentation
bin1001111111100…
…00000100000100
312211201112112020
410333300010010
5132424231204
612152323140
72035315344
oct477600404
9184645466
1083820804
11433508a1
12240a34b0
131449a512
14b1bcd24
15755abd9
hex4ff0104

83820804 has 48 divisors (see below), whose sum is σ = 199741248. Its totient is φ = 27353088.

The previous prime is 83820773. The next prime is 83820811. The reversal of 83820804 is 40802838.

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 15 ways as a sum of consecutive naturals, for example, 124212 + ... + 124884.

It is an arithmetic number, because the mean of its divisors is an integer number (4161276).

Almost surely, 283820804 is an apocalyptic number.

It is an amenable number.

83820804 is an abundant number, since it is smaller than the sum of its proper divisors (115920444).

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

83820804 is a wasteful number, since it uses less digits than its factorization.

83820804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 83820804 is about 9155.3702273584. The cubic root of 83820804 is about 437.6402667522.

The spelling of 83820804 in words is "eighty-three million, eight hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 97 107 194 214 291 321 388 428 582 642 673 1164 1284 1346 2019 2692 4038 8076 10379 20758 31137 41516 62274 65281 72011 124548 130562 144022 195843 216033 261124 288044 391686 432066 783372 864132 6985067 13970134 20955201 27940268 41910402 83820804