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80858000 = 245340429
BaseRepresentation
bin1001101000111…
…00101110010000
312122011000022202
410310130232100
5131144424000
612005022332
72001165416
oct464345620
9178130282
1080858000
11417078a3
12230b49a8
13139a0a92
14aa4b2b6
157172dd5
hex4d1cb90

80858000 has 40 divisors (see below), whose sum is σ = 195519480. Its totient is φ = 32342400.

The previous prime is 80857993. The next prime is 80858009. The reversal of 80858000 is 85808.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 80856064 = 44^2 + 8992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80858009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18215 + ... + 22214.

It is an arithmetic number, because the mean of its divisors is an integer number (4887987).

Almost surely, 280858000 is an apocalyptic number.

80858000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80858000 is an abundant number, since it is smaller than the sum of its proper divisors (114661480).

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

80858000 is a wasteful number, since it uses less digits than its factorization.

80858000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40452 (or 40436 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 80858000 is about 8992.1076506012. The cubic root of 80858000 is about 432.4218843852.

The spelling of 80858000 in words is "eighty million, eight hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 40429 80858 161716 202145 323432 404290 646864 808580 1010725 1617160 2021450 3234320 4042900 5053625 8085800 10107250 16171600 20214500 40429000 80858000