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850800000 = 27355709
BaseRepresentation
bin110010101101100…
…010110110000000
32012021221010012010
4302231202312000
53220301100000
6220231332520
730040452321
oct6255426600
92167833163
10850800000
113a72886a6
121b8b21140
1310735b46b
1480dd0448
154ea5dd50
hex32b62d80

850800000 has 192 divisors, whose sum is σ = 2828725200. Its totient is φ = 226560000.

The previous prime is 850799977. The next prime is 850800007. The reversal of 850800000 is 8058.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 850800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199646 + ... + 1200354.

Almost surely, 2850800000 is an apocalyptic number.

850800000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414362600).

850800000 is an abundant number, since it is smaller than the sum of its proper divisors (1977925200).

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

850800000 is an frugal number, since it uses more digits than its factorization.

850800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 850800000 is about 29168.4761343475. The cubic root of 850800000 is about 947.5653261931.

Adding to 850800000 its reverse (8058), we get a palindrome (850808058).

The spelling of 850800000 in words is "eight hundred fifty million, eight hundred thousand".