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4100904 = 233256957
BaseRepresentation
bin1111101001001100101000
321201100101100
433221030220
52022212104
6223521400
746566663
oct17511450
97640340
104100904
112351085
121459260
13b07792
1478a6da
15560139
hex3e9328

4100904 has 24 divisors (see below), whose sum is σ = 11106810. Its totient is φ = 1366944.

The previous prime is 4100881. The next prime is 4100909. The reversal of 4100904 is 4090014.

4100904 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., 3992004 + 108900 = 1998^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4100909) 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 5 ways as a sum of consecutive naturals, for example, 28407 + ... + 28550.

Almost surely, 24100904 is an apocalyptic number.

It is an amenable number.

4100904 is an abundant number, since it is smaller than the sum of its proper divisors (7005906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4100904 is a wasteful number, since it uses less digits than its factorization.

4100904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56969 (or 56962 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4100904 is about 2025.0688877172. The cubic root of 4100904 is about 160.0638287001.

Adding to 4100904 its reverse (4090014), we get a palindrome (8190918).

The spelling of 4100904 in words is "four million, one hundred thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56957 113914 170871 227828 341742 455656 512613 683484 1025226 1366968 2050452 4100904