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4041414 = 2341319101
BaseRepresentation
bin1111011010101011000110
321121022210000
433122223012
52013311124
6222342130
746231356
oct17325306
97538700
104041414
112310413
12142a946
13ab6690
14772b66
1554c6c9
hex3daac6

4041414 has 80 divisors (see below), whose sum is σ = 10367280. Its totient is φ = 1166400.

The previous prime is 4041413. The next prime is 4041419. The reversal of 4041414 is 4141404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041413) 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 39 ways as a sum of consecutive naturals, for example, 39964 + ... + 40064.

It is an arithmetic number, because the mean of its divisors is an integer number (129591).

Almost surely, 24041414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183640).

4041414 is an abundant number, since it is smaller than the sum of its proper divisors (6325866).

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

4041414 is a wasteful number, since it uses less digits than its factorization.

4041414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4041414 is about 2010.3268390986. The cubic root of 4041414 is about 159.2860638750.

Adding to 4041414 its reverse (4141404), we get a palindrome (8182818).

The spelling of 4041414 in words is "four million, forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 101 114 117 162 171 202 234 247 303 342 351 494 513 606 702 741 909 1026 1053 1313 1482 1539 1818 1919 2106 2223 2626 2727 3078 3838 3939 4446 5454 5757 6669 7878 8181 11514 11817 13338 16362 17271 20007 23634 24947 34542 35451 40014 49894 51813 70902 74841 103626 106353 149682 155439 212706 224523 310878 449046 673569 1347138 2020707 4041414