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4114432 = 2117241
BaseRepresentation
bin1111101100100000000000
321202000221101
433230200000
52023130212
6224104144
746654300
oct17544000
97660841
104114432
112360263
121465054
13b1099a
14791600
15564157
hex3ec800

4114432 has 72 divisors (see below), whose sum is σ = 9803430. Its totient is φ = 1720320.

The previous prime is 4114421. The next prime is 4114463. The reversal of 4114432 is 2344114.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 50176 = 2016^2 + 224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100332 + ... + 100372.

Almost surely, 24114432 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 4114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901715).

4114432 is an abundant number, since it is smaller than the sum of its proper divisors (5688998).

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

4114432 is an equidigital number, since it uses as much as digits as its factorization.

4114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 4114432 is about 2028.4062709428. The cubic root of 4114432 is about 160.2396408973.

Adding to 4114432 its reverse (2344114), we get a palindrome (6458546).

The spelling of 4114432 in words is "four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 392 448 512 574 656 784 896 1024 1148 1312 1568 1792 2009 2048 2296 2624 3136 3584 4018 4592 5248 6272 7168 8036 9184 10496 12544 14336 16072 18368 20992 25088 32144 36736 41984 50176 64288 73472 83968 100352 128576 146944 257152 293888 514304 587776 1028608 2057216 4114432