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4142097 = 3451137
BaseRepresentation
bin1111110011010000010001
321210102220000
433303100101
52030021342
6224440213
750131041
oct17632021
97712800
104142097
11237a023
121479069
13b2045b
1479b721
1556c44c
hex3f3411

4142097 has 10 divisors (see below), whose sum is σ = 6187698. Its totient is φ = 2761344.

The previous prime is 4142087. The next prime is 4142119. The reversal of 4142097 is 7902414.

It is a happy number.

4142097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 77841 = 2016^2 + 279^2 .

It is a de Polignac number, because none of the positive numbers 2k-4142097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4142097.

It is not an unprimeable number, because it can be changed into a prime (4142027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25488 + ... + 25649.

Almost surely, 24142097 is an apocalyptic number.

It is an amenable number.

4142097 is a deficient number, since it is larger than the sum of its proper divisors (2045601).

4142097 is an equidigital number, since it uses as much as digits as its factorization.

4142097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51149 (or 51140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4142097 is about 2035.2142393370. The cubic root of 4142097 is about 160.5979836670.

The spelling of 4142097 in words is "four million, one hundred forty-two thousand, ninety-seven".

Divisors: 1 3 9 27 81 51137 153411 460233 1380699 4142097