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80921800 = 23524011009
BaseRepresentation
bin1001101001011…
…00010011001000
312122021020211201
410310230103020
5131203444200
612010233544
72001552421
oct464542310
9178236751
1080921800
1141750823
12231258b4
13139c3b2b
14aa66648
157186c6a
hex4d2c4c8

80921800 has 48 divisors (see below), whose sum is σ = 188799300. Its totient is φ = 32256000.

The previous prime is 80921777. The next prime is 80921809. The reversal of 80921800 is 812908.

It can be written as a sum of positive squares in 6 ways, for example, as 48636676 + 32285124 = 6974^2 + 5682^2 .

It is not an unprimeable number, because it can be changed into a prime (80921809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 79696 + ... + 80704.

Almost surely, 280921800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399650).

80921800 is an abundant number, since it is smaller than the sum of its proper divisors (107877500).

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

80921800 is a wasteful number, since it uses less digits than its factorization.

80921800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 80921800 is about 8995.6545064826. The cubic root of 80921800 is about 432.5355868565.

The spelling of 80921800 in words is "eighty million, nine hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1009 1604 2005 2018 3208 4010 4036 5045 8020 8072 10025 10090 16040 20050 20180 25225 40100 40360 50450 80200 100900 201800 404609 809218 1618436 2023045 3236872 4046090 8092180 10115225 16184360 20230450 40460900 80921800