Search a number
-
+
4042104 = 2331161251
BaseRepresentation
bin1111011010110101111000
321121100201120
433122311320
52013321404
6222345240
746233363
oct17326570
97540646
104042104
112310990
12142b220
13ab6aa1
147730da
1554c9d9
hex3dad78

4042104 has 64 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1200000.

The previous prime is 4042097. The next prime is 4042111. The reversal of 4042104 is 4012404.

4042104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4042097) and next prime (4042111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15979 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 24042104 is an apocalyptic number.

4042104 is a gapful number since it is divisible by the number (44) 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 4042104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4042104 is an abundant number, since it is smaller than the sum of its proper divisors (7207176).

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

4042104 is a wasteful number, since it uses less digits than its factorization.

4042104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4042104 is about 2010.4984456597. The cubic root of 4042104 is about 159.2951284523.

Adding to 4042104 its reverse (4012404), we get a palindrome (8054508).

The spelling of 4042104 in words is "four million, forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 251 264 366 488 502 671 732 753 1004 1342 1464 1506 2008 2013 2684 2761 3012 4026 5368 5522 6024 8052 8283 11044 15311 16104 16566 22088 30622 33132 45933 61244 66264 91866 122488 168421 183732 336842 367464 505263 673684 1010526 1347368 2021052 4042104