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4053806505 = 325721838461
BaseRepresentation
bin1111000110100000…
…0010110110101001
3101110111221201002200
43301220002312221
531300233302010
61510131050413
7202312533600
oct36150026651
911414851080
104053806505
1117a02a4911
12951740a09
134c7b10598
142a655ca37
1518ad52cc0
hexf1a02da9

4053806505 has 36 divisors (see below), whose sum is σ = 8173802052. Its totient is φ = 1853167680.

The previous prime is 4053806473. The next prime is 4053806507. The reversal of 4053806505 is 5056083504.

It can be written as a sum of positive squares in 2 ways, for example, as 2101580649 + 1952225856 = 45843^2 + 44184^2 .

It is not a de Polignac number, because 4053806505 - 25 = 4053806473 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4053806505.

It is not an unprimeable number, because it can be changed into a prime (4053806507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 917026 + ... + 921435.

It is an arithmetic number, because the mean of its divisors is an integer number (227050057).

Almost surely, 24053806505 is an apocalyptic number.

4053806505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4053806505 is an abundant number, since it is smaller than the sum of its proper divisors (4119995547).

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

4053806505 is a wasteful number, since it uses less digits than its factorization.

4053806505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838486 (or 1838476 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4053806505 is about 63669.5100106794. The cubic root of 4053806505 is about 1594.4870819893.

The spelling of 4053806505 in words is "four billion, fifty-three million, eight hundred six thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 1838461 5515383 9192305 12869227 16546149 27576915 38607681 64346135 82730745 90084589 115823043 193038405 270253767 450422945 579115215 810761301 1351268835 4053806505