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4138117 = 37971153
BaseRepresentation
bin1111110010010010000101
321210020102121
433302102011
52024404432
6224405541
750113324
oct17622205
97706377
104138117
112377035
1214768b1
13b1b6b9
1479a0bb
1556b197
hex3f2485

4138117 has 8 divisors (see below), whose sum is σ = 4297496. Its totient is φ = 3981312.

The previous prime is 4138111. The next prime is 4138129. The reversal of 4138117 is 7118314.

4138117 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 4 ways, for example, as 1920996 + 2217121 = 1386^2 + 1489^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(4138117) divides (4138117-1)7.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4138117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4138091 and 4138100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138111) 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 7 ways as a sum of consecutive naturals, for example, 3013 + ... + 4165.

It is an arithmetic number, because the mean of its divisors is an integer number (537187).

Almost surely, 24138117 is an apocalyptic number.

It is an amenable number.

4138117 is a deficient number, since it is larger than the sum of its proper divisors (159379).

4138117 is a wasteful number, since it uses less digits than its factorization.

4138117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287.

The product of its digits is 672, while the sum is 25.

The square root of 4138117 is about 2034.2362203048. The cubic root of 4138117 is about 160.5465294715.

The spelling of 4138117 in words is "four million, one hundred thirty-eight thousand, one hundred seventeen".

Divisors: 1 37 97 1153 3589 42661 111841 4138117