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823083080 = 235186111057
BaseRepresentation
bin110001000011110…
…100000001001000
32010100202221201112
4301003310001020
53141202124310
6213401305452
726253043061
oct6103640110
92110687645
10823083080
11392677556
121ab795288
131016a5711
147b457568
154c3d6705
hex310f4048

823083080 has 32 divisors (see below), whose sum is σ = 1853099640. Its totient is φ = 329026560.

The previous prime is 823083013. The next prime is 823083109. The reversal of 823083080 is 80380328.

823083080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 233661796 + 589421284 = 15286^2 + 24278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68912 + ... + 79968.

Almost surely, 2823083080 is an apocalyptic number.

It is an amenable number.

823083080 is an abundant number, since it is smaller than the sum of its proper divisors (1030016560).

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

823083080 is a wasteful number, since it uses less digits than its factorization.

823083080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12929 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 823083080 is about 28689.4245323952. The cubic root of 823083080 is about 937.1617572089.

The spelling of 823083080 in words is "eight hundred twenty-three million, eighty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 1861 3722 7444 9305 11057 14888 18610 22114 37220 44228 55285 74440 88456 110570 221140 442280 20577077 41154154 82308308 102885385 164616616 205770770 411541540 823083080