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4097417 = 3724173
BaseRepresentation
bin1111101000010110001001
321201011121012
433220112021
52022104132
6223453305
746553552
oct17502611
97634535
104097417
1123494a5
121457235
13b0600c
14789329
1555e0b2
hex3e8589

4097417 has 12 divisors (see below), whose sum is σ = 4372956. Its totient is φ = 3836160.

The previous prime is 4097393. The next prime is 4097441. The reversal of 4097417 is 7147904.

4097417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4097393) and next prime (4097441).

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 3924361 = 416^2 + 1981^2 .

It is a de Polignac number, because none of the positive numbers 2k-4097417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4097447) 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 11 ways as a sum of consecutive naturals, for example, 56093 + ... + 56165.

It is an arithmetic number, because the mean of its divisors is an integer number (364413).

Almost surely, 24097417 is an apocalyptic number.

It is an amenable number.

4097417 is a deficient number, since it is larger than the sum of its proper divisors (275539).

4097417 is an equidigital number, since it uses as much as digits as its factorization.

4097417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 4097417 is about 2024.2077462553. The cubic root of 4097417 is about 160.0184483936.

The spelling of 4097417 in words is "four million, ninety-seven thousand, four hundred seventeen".

Divisors: 1 37 41 73 1369 1517 2701 2993 56129 99937 110741 4097417