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4042117 = 19211197
BaseRepresentation
bin1111011010110110000101
321121100202001
433122312011
52013321432
6222345301
746233412
oct17326605
97540661
104042117
1123109a2
12142b231
13ab6ab1
14773109
1554c9e7
hex3dad85

4042117 has 6 divisors (see below), whose sum is σ = 4266438. Its totient is φ = 3829032.

The previous prime is 4042111. The next prime is 4042153. The reversal of 4042117 is 7112404.

It can be written as a sum of positive squares in only one way, i.e., 2989441 + 1052676 = 1729^2 + 1026^2 .

It is a de Polignac number, because none of the positive numbers 2k-4042117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4042094 and 4042103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042111) 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 5 ways as a sum of consecutive naturals, for example, 5238 + ... + 5959.

It is an arithmetic number, because the mean of its divisors is an integer number (711073).

Almost surely, 24042117 is an apocalyptic number.

It is an amenable number.

4042117 is a deficient number, since it is larger than the sum of its proper divisors (224321).

4042117 is a wasteful number, since it uses less digits than its factorization.

4042117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11216 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4042117 is about 2010.5016786862. The cubic root of 4042117 is about 159.2952992243.

The spelling of 4042117 in words is "four million, forty-two thousand, one hundred seventeen".

Divisors: 1 19 361 11197 212743 4042117