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404148441 = 34716131777
BaseRepresentation
bin11000000101101…
…101000011011001
31001011110212102210
4120011231003121
51311430222231
6104034145333
713005130224
oct3005550331
91034425383
10404148441
11198149784
12b3422249
13659648b8
143b9645bb
1525732a46
hex1816d0d9

404148441 has 16 divisors (see below), whose sum is σ = 550980864. Its totient is φ = 263387904.

The previous prime is 404148421. The next prime is 404148461. The reversal of 404148441 is 144841404.

It is an interprime number because it is at equal distance from previous prime (404148421) and next prime (404148461).

It is not a de Polignac number, because 404148441 - 219 = 403624153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404148399 and 404148408.

It is not an unprimeable number, because it can be changed into a prime (404148421) 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 15 ways as a sum of consecutive naturals, for example, 226545 + ... + 228321.

It is an arithmetic number, because the mean of its divisors is an integer number (34436304).

Almost surely, 2404148441 is an apocalyptic number.

It is an amenable number.

404148441 is a deficient number, since it is larger than the sum of its proper divisors (146832423).

404148441 is a wasteful number, since it uses less digits than its factorization.

404148441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440.

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 404148441 is about 20103.4435110008. The cubic root of 404148441 is about 739.3447090331.

Adding to 404148441 its reverse (144841404), we get a palindrome (548989845).

The spelling of 404148441 in words is "four hundred four million, one hundred forty-eight thousand, four hundred forty-one".

Divisors: 1 3 47 141 1613 1777 4839 5331 75811 83519 227433 250557 2866301 8598903 134716147 404148441