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4114242 = 2321121889
BaseRepresentation
bin1111101100011101000010
321202000200100
433230131002
52023123432
6224103230
746653606
oct17543502
97660610
104114242
112360100
121464b16
13b10882
14791506
1556407c
hex3ec742

4114242 has 36 divisors (see below), whose sum is σ = 9803430. Its totient is φ = 1246080.

The previous prime is 4114223. The next prime is 4114249. The reversal of 4114242 is 2424114.

It can be written as a sum of positive squares in only one way, i.e., 3538161 + 576081 = 1881^2 + 759^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1234 + ... + 3122.

Almost surely, 24114242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901715).

4114242 is an abundant number, since it is smaller than the sum of its proper divisors (5689188).

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

4114242 is a wasteful number, since it uses less digits than its factorization.

4114242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1905 counting only the distinct ones).

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

The square root of 4114242 is about 2028.3594356031. The cubic root of 4114242 is about 160.2371742952.

Adding to 4114242 its reverse (2424114), we get a palindrome (6538356).

It can be divided in two parts, 4114 and 242, that added together give a square (4356 = 662).

The spelling of 4114242 in words is "four million, one hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1889 2178 3778 5667 11334 17001 20779 34002 41558 62337 124674 187011 228569 374022 457138 685707 1371414 2057121 4114242