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4484008040 = 235112100201
BaseRepresentation
bin1000010110100010…
…01000100001101000
3102120111110012122212
410023101020201220
533140401224130
62020535504252
7216055303511
oct41321104150
912514405585
104484008040
1119a1118676
12a51828088
13565c977c5
14307745a08
151b39cee95
hex10b448868

4484008040 has 16 divisors (see below), whose sum is σ = 10089018180. Its totient is φ = 1793603200.

The previous prime is 4484008027. The next prime is 4484008049. The reversal of 4484008040 is 408004844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4483909444 + 98596 = 66962^2 + 314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4484007988 and 4484008006.

It is not an unprimeable number, because it can be changed into a prime (4484008049) by changing a digit.

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, 56050061 + ... + 56050140.

Almost surely, 24484008040 is an apocalyptic number.

4484008040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4484008040 is an abundant number, since it is smaller than the sum of its proper divisors (5605010140).

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

4484008040 is a wasteful number, since it uses less digits than its factorization.

4484008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112100212 (or 112100208 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4484008040 is about 66962.7362045489. The cubic root of 4484008040 is about 1649.0055887551.

The spelling of 4484008040 in words is "four billion, four hundred eighty-four million, eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 112100201 224200402 448400804 560501005 896801608 1121002010 2242004020 4484008040