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4086433320 = 2335331102881
BaseRepresentation
bin1111001110010010…
…0000011000101000
3101112210100022200020
43303210200120220
531332111331240
61513254240440
7203160052524
oct36344403050
911483308606
104086433320
111807759922
12960656120
135017c50a8
142aaa12d84
1518db4a0d0
hexf3920628

4086433320 has 64 divisors (see below), whose sum is σ = 12296456640. Its totient is φ = 1086412800.

The previous prime is 4086433301. The next prime is 4086433321. The reversal of 4086433320 is 233346804.

It is not an unprimeable number, because it can be changed into a prime (4086433321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11721 + ... + 91160.

It is an arithmetic number, because the mean of its divisors is an integer number (192132135).

Almost surely, 24086433320 is an apocalyptic number.

4086433320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148228320).

4086433320 is an abundant number, since it is smaller than the sum of its proper divisors (8210023320).

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

4086433320 is a wasteful number, since it uses less digits than its factorization.

4086433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103226 (or 103222 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4086433320 is about 63925.2166206733. The cubic root of 4086433320 is about 1598.7533674860.

The spelling of 4086433320 in words is "four billion, eighty-six million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 39720 102881 205762 308643 411524 514405 617286 823048 1028810 1234572 1543215 2057620 2469144 3086430 4115240 6172860 12345720 34053611 68107222 102160833 136214444 170268055 204321666 272428888 340536110 408643332 510804165 681072220 817286664 1021608330 1362144440 2043216660 4086433320