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4084046480 = 24551050581
BaseRepresentation
bin1111001101101101…
…1001101010010000
3101112121212001112202
43303123121222100
531331003441410
61513131142332
7203130552023
oct36333315220
911477761482
104084046480
111806379628
1295b8a49a8
1350116a867
142aa5911ba
1518d827ca5
hexf36d9a90

4084046480 has 20 divisors (see below), whose sum is σ = 9495408252. Its totient is φ = 1633618560.

The previous prime is 4084046471. The next prime is 4084046521. The reversal of 4084046480 is 846404804.

It can be written as a sum of positive squares in 2 ways, for example, as 2730689536 + 1353356944 = 52256^2 + 36788^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 25525211 + ... + 25525370.

Almost surely, 24084046480 is an apocalyptic number.

4084046480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084046480 is an abundant number, since it is smaller than the sum of its proper divisors (5411361772).

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

4084046480 is a wasteful number, since it uses less digits than its factorization.

4084046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51050594 (or 51050588 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 4084046480 is about 63906.5448917402. The cubic root of 4084046480 is about 1598.4420355424.

The spelling of 4084046480 in words is "four billion, eighty-four million, forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51050581 102101162 204202324 255252905 408404648 510505810 816809296 1021011620 2042023240 4084046480