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4088106 = 2321121877
BaseRepresentation
bin1111100110000100101010
321200200211100
433212010222
52021304411
6223342230
746514451
oct17460452
97620740
104088106
112342500
121451976
13b019c9
14785b98
1555b456
hex3e612a

4088106 has 36 divisors (see below), whose sum is σ = 9741186. Its totient is φ = 1238160.

The previous prime is 4088087. The next prime is 4088111. The reversal of 4088106 is 6018804.

4088106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3294225 + 793881 = 1815^2 + 891^2 .

It is a super-2 number, since 2×40881062 = 33425221334472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4088106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1240 + ... + 3116.

Almost surely, 24088106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4088106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870593).

4088106 is an abundant number, since it is smaller than the sum of its proper divisors (5653080).

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

4088106 is a wasteful number, since it uses less digits than its factorization.

4088106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4088106 is about 2021.9065260293. The cubic root of 4088106 is about 159.8971474393.

The spelling of 4088106 in words is "four million, eighty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1877 2178 3754 5631 11262 16893 20647 33786 41294 61941 123882 185823 227117 371646 454234 681351 1362702 2044053 4088106