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4082284116 = 2233107457773
BaseRepresentation
bin1111001101010010…
…1011011001010100
3101112111112112001000
43303110223121110
531330031042431
61513025303300
7203106561651
oct36324533124
911474475030
104082284116
111805385529
1295b194b30
135009a1641
142aa252c28
1518d5ca9e6
hexf352b654

4082284116 has 96 divisors (see below), whose sum is σ = 10719838080. Its totient is φ = 1343354112.

The previous prime is 4082284067. The next prime is 4082284117. The reversal of 4082284116 is 6114822804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082284117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5280706 + ... + 5281478.

It is an arithmetic number, because the mean of its divisors is an integer number (111664980).

Almost surely, 24082284116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082284116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359919040).

4082284116 is an abundant number, since it is smaller than the sum of its proper divisors (6637553964).

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

4082284116 is a wasteful number, since it uses less digits than its factorization.

4082284116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4082284116 is about 63892.7548005249. The cubic root of 4082284116 is about 1598.2120804381.

The spelling of 4082284116 in words is "four billion, eighty-two million, two hundred eighty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 457 642 773 914 963 1284 1371 1546 1828 1926 2319 2742 2889 3092 3852 4113 4638 5484 5778 6957 8226 9276 11556 12339 13914 16452 20871 24678 27828 41742 48899 49356 82711 83484 97798 146697 165422 195596 248133 293394 330844 353261 440091 496266 586788 706522 744399 880182 992532 1059783 1320273 1413044 1488798 1760364 2119566 2233197 2640546 2977596 3179349 4239132 4466394 5281092 6358698 8932788 9538047 12717396 19076094 37798927 38152188 75597854 113396781 151195708 226793562 340190343 453587124 680380686 1020571029 1360761372 2041142058 4082284116