Search a number
-
+
4084008064 = 27231387231
BaseRepresentation
bin1111001101101101…
…0000010010000000
3101112121210002211221
43303123100102000
531331001224224
61513130244424
7203130332023
oct36333202200
911477702757
104084008064
111806352784
1295b886714
13501156226
142aa5811ba
1518d81b6e4
hexf36d0480

4084008064 has 32 divisors (see below), whose sum is σ = 8489859840. Its totient is φ = 1953219840.

The previous prime is 4084008043. The next prime is 4084008077. The reversal of 4084008064 is 4608004804.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690672 + ... + 696559.

It is an arithmetic number, because the mean of its divisors is an integer number (265308120).

Almost surely, 24084008064 is an apocalyptic number.

It is an amenable number.

4084008064 is an abundant number, since it is smaller than the sum of its proper divisors (4405851776).

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

4084008064 is a wasteful number, since it uses less digits than its factorization.

4084008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387268 (or 1387256 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 4084008064 is about 63906.2443271391. The cubic root of 4084008064 is about 1598.4370236878.

The spelling of 4084008064 in words is "four billion, eighty-four million, eight thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 1387231 2774462 5548924 11097848 22195696 31906313 44391392 63812626 88782784 127625252 177565568 255250504 510501008 1021002016 2042004032 4084008064