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518978080 = 2553243613
BaseRepresentation
bin11110111011101…
…111101000100000
31100011112211002101
4132323233220200
52030324244310
6123255300144
715601145425
oct3673575040
91304484071
10518978080
11246a49a05
1212597a654
138369b32a
144ccd5d4c
153086643a
hex1eeefa20

518978080 has 24 divisors (see below), whose sum is σ = 1226086092. Its totient is φ = 207591168.

The previous prime is 518978071. The next prime is 518978081. The reversal of 518978080 is 80879815.

518978080 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 2 ways, for example, as 431143696 + 87834384 = 20764^2 + 9372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 518978080.

It is not an unprimeable number, because it can be changed into a prime (518978081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1621647 + ... + 1621966.

Almost surely, 2518978080 is an apocalyptic number.

It is an amenable number.

518978080 is an abundant number, since it is smaller than the sum of its proper divisors (707108012).

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

518978080 is a wasteful number, since it uses less digits than its factorization.

518978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243628 (or 3243620 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The square root of 518978080 is about 22781.0904041049. The cubic root of 518978080 is about 803.6180293295.

The spelling of 518978080 in words is "five hundred eighteen million, nine hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3243613 6487226 12974452 16218065 25948904 32436130 51897808 64872260 103795616 129744520 259489040 518978080