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475641 = 32411289
BaseRepresentation
bin1110100000111111001
3220011110100
41310013321
5110210031
614110013
74020465
oct1640771
9804410
10475641
112a53a1
121ab309
1313865a
14c54a5
1595de6
hex741f9

475641 has 12 divisors (see below), whose sum is σ = 704340. Its totient is φ = 309120.

The previous prime is 475639. The next prime is 475649. The reversal of 475641 is 146574.

It can be written as a sum of positive squares in 2 ways, for example, as 184041 + 291600 = 429^2 + 540^2 .

It is not a de Polignac number, because 475641 - 21 = 475639 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (475649) 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, 276 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2475641 is an apocalyptic number.

475641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

475641 is the 369-th nonagonal number.

It is an amenable number.

475641 is a deficient number, since it is larger than the sum of its proper divisors (228699).

475641 is a wasteful number, since it uses less digits than its factorization.

475641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1333 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 475641 is about 689.6673111001. The cubic root of 475641 is about 78.0596191129.

The spelling of 475641 in words is "four hundred seventy-five thousand, six hundred forty-one".

Divisors: 1 3 9 41 123 369 1289 3867 11601 52849 158547 475641