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408125 = 54653
BaseRepresentation
bin1100011101000111101
3202201211202
41203220331
5101030000
612425245
73316604
oct1435075
9681752
10408125
112596a3
12178225
131139c3
14a8a3b
1580dd5
hex63a3d

408125 has 10 divisors (see below), whose sum is σ = 510774. Its totient is φ = 326000.

The previous prime is 408091. The next prime is 408127. The reversal of 408125 is 521804.

It can be written as a sum of positive squares in 5 ways, for example, as 217156 + 190969 = 466^2 + 437^2 .

It is not a de Polignac number, because 408125 - 212 = 404029 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 408097 and 408106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408127) 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 9 ways as a sum of consecutive naturals, for example, 299 + ... + 951.

2408125 is an apocalyptic number.

It is an amenable number.

408125 is a deficient number, since it is larger than the sum of its proper divisors (102649).

408125 is an frugal number, since it uses more digits than its factorization.

408125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 408125 is about 638.8466169590. The cubic root of 408125 is about 74.1761690191.

Adding to 408125 its reverse (521804), we get a palindrome (929929).

The spelling of 408125 in words is "four hundred eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 625 653 3265 16325 81625 408125