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4106837 = 7283813
BaseRepresentation
bin1111101010101001010101
321201122112002
433222221111
52022404322
6224005045
746623200
oct17525125
97648462
104106837
112355589
121460785
13b0a3a7
1478c937
15561c92
hex3eaa55

4106837 has 6 divisors (see below), whose sum is σ = 4777398. Its totient is φ = 3520104.

The previous prime is 4106827. The next prime is 4106863. The reversal of 4106837 is 7386014.

It can be written as a sum of positive squares in only one way, i.e., 4036081 + 70756 = 2009^2 + 266^2 .

It is not a de Polignac number, because 4106837 - 24 = 4106821 is a prime.

It is a super-2 number, since 2×41068372 = 33732220289138, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106807) 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, 41858 + ... + 41955.

It is an arithmetic number, because the mean of its divisors is an integer number (796233).

Almost surely, 24106837 is an apocalyptic number.

It is an amenable number.

4106837 is a deficient number, since it is larger than the sum of its proper divisors (670561).

4106837 is an equidigital number, since it uses as much as digits as its factorization.

4106837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83827 (or 83820 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4106837 is about 2026.5332467048. The cubic root of 4106837 is about 160.1409825089.

The spelling of 4106837 in words is "four million, one hundred six thousand, eight hundred thirty-seven".

Divisors: 1 7 49 83813 586691 4106837