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850400080 = 24510630001
BaseRepresentation
bin110010101100000…
…001001101010000
32012021011210121021
4302230001031100
53220200300310
6220215005224
730034165345
oct6254011520
92167153537
10850400080
113a7035192
121b8969814
1310724b41a
1480d287cc
154e9d05da
hex32b01350

850400080 has 20 divisors (see below), whose sum is σ = 1977180372. Its totient is φ = 340160000.

The previous prime is 850400069. The next prime is 850400101. The reversal of 850400080 is 80004058.

It can be written as a sum of positive squares in 2 ways, for example, as 669981456 + 180418624 = 25884^2 + 13432^2 .

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, 5314921 + ... + 5315080.

Almost surely, 2850400080 is an apocalyptic number.

850400080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

850400080 is an abundant number, since it is smaller than the sum of its proper divisors (1126780292).

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

850400080 is a wasteful number, since it uses less digits than its factorization.

850400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630014 (or 10630008 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 850400080 is about 29161.6199824358. The cubic root of 850400080 is about 947.4168346885.

The spelling of 850400080 in words is "eight hundred fifty million, four hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10630001 21260002 42520004 53150005 85040008 106300010 170080016 212600020 425200040 850400080