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48448840040 = 2352089579809
BaseRepresentation
bin101101000111110001…
…101010000101101000
311122001111001002011222
4231013301222011220
51243210400340130
634131310441212
73333415226336
oct550761520550
9148044032158
1048448840040
111960211a677
129481503208
1347515a73b3
1424b8710b56
1513d85e1ce5
hexb47c6a168

48448840040 has 32 divisors (see below), whose sum is σ = 109062261000. Its totient is φ = 19370225664.

The previous prime is 48448840009. The next prime is 48448840043. The reversal of 48448840040 is 4004884484.

It can be written as a sum of positive squares in 4 ways, for example, as 48107403556 + 341436484 = 219334^2 + 18478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48448839973 and 48448840000.

It is not an unprimeable number, because it can be changed into a prime (48448840043) 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 7 ways as a sum of consecutive naturals, for example, 206345 + ... + 373464.

Almost surely, 248448840040 is an apocalyptic number.

48448840040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48448840040 is an abundant number, since it is smaller than the sum of its proper divisors (60613420960).

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

48448840040 is a wasteful number, since it uses less digits than its factorization.

48448840040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581909 (or 581905 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 48448840040 in words is "forty-eight billion, four hundred forty-eight million, eight hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2089 4178 8356 10445 16712 20890 41780 83560 579809 1159618 2319236 2899045 4638472 5798090 11596180 23192360 1211221001 2422442002 4844884004 6056105005 9689768008 12112210010 24224420020 48448840040