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404200125 = 355371901
BaseRepresentation
bin11000000101111…
…001101010111101
31001011120111100000
4120011321222331
51311433401000
6104035224513
713005434010
oct3005715275
91034514300
10404200125
1119818459a
12b3448139
1365982294
143b979377
1525743000
hex18179abd

404200125 has 96 divisors (see below), whose sum is σ = 864025344. Its totient is φ = 184680000.

The previous prime is 404200087. The next prime is 404200133. The reversal of 404200125 is 521002404.

404200125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 404200125 - 26 = 404200061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404200098 and 404200107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211675 + ... + 213575.

It is an arithmetic number, because the mean of its divisors is an integer number (9000264).

Almost surely, 2404200125 is an apocalyptic number.

404200125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404200125 is an abundant number, since it is smaller than the sum of its proper divisors (459825219).

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

404200125 is an equidigital number, since it uses as much as digits as its factorization.

404200125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 404200125 is about 20104.7289213259. The cubic root of 404200125 is about 739.3762244032.

Adding to 404200125 its reverse (521002404), we get a palindrome (925202529).

The spelling of 404200125 in words is "four hundred four million, two hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 243 315 375 405 525 567 675 875 945 1125 1215 1575 1701 1901 2025 2625 2835 3375 4725 5703 6075 7875 8505 9505 10125 13307 14175 17109 23625 28515 30375 39921 42525 47525 51327 66535 70875 85545 119763 142575 153981 199605 212625 237625 256635 332675 359289 427725 461943 598815 712875 769905 998025 1077867 1283175 1663375 1796445 2138625 2309715 2994075 3233601 3849525 4990125 5389335 6415875 8982225 11548575 14970375 16168005 19247625 26946675 44911125 57742875 80840025 134733375 404200125