Search a number
-
+
4096381086 = 2347373721
BaseRepresentation
bin1111010000101001…
…1101000010011110
3101120111001201110000
43310022131002132
531342133143321
61514251355130
7203340444000
oct36412350236
911514051400
104096381086
111812333816
12963a52aa6
13503898c45
142ac082370
1518e962826
hexf429d09e

4096381086 has 80 divisors (see below), whose sum is σ = 10704434400. Its totient is φ = 1170378720.

The previous prime is 4096381073. The next prime is 4096381123. The reversal of 4096381086 is 6801836904.

4096381086 is a `hidden beast` number, since 4 + 0 + 9 + 638 + 1 + 0 + 8 + 6 = 666.

4096381086 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18706 + ... + 92426.

It is an arithmetic number, because the mean of its divisors is an integer number (133805430).

Almost surely, 24096381086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096381086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352217200).

4096381086 is an abundant number, since it is smaller than the sum of its proper divisors (6608053314).

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

4096381086 is an equidigital number, since it uses as much as digits as its factorization.

4096381086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73756 (or 73733 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4096381086 is about 64002.9771651288. The cubic root of 4096381086 is about 1600.0496190341.

The spelling of 4096381086 in words is "four billion, ninety-six million, three hundred eighty-one thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2646 3087 3969 6174 7938 9261 18522 27783 55566 73721 147442 221163 442326 516047 663489 1032094 1326978 1548141 1990467 3096282 3612329 3980934 4644423 5971401 7224658 9288846 10836987 11942802 13933269 21673974 25286303 27866538 32510961 41799807 50572606 65021922 75858909 83599614 97532883 151717818 195065766 227576727 292598649 455153454 585197298 682730181 1365460362 2048190543 4096381086