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404685 = 32517232
BaseRepresentation
bin1100010110011001101
3202120010100
41202303031
5100422220
612401313
73303561
oct1426315
9676110
10404685
11257056
12176239
13112278
14a76a1
157ed90
hex62ccd

404685 has 36 divisors (see below), whose sum is σ = 776412. Its totient is φ = 194304.

The previous prime is 404671. The next prime is 404693. The reversal of 404685 is 586404.

It can be written as a sum of positive squares in 2 ways, for example, as 233289 + 171396 = 483^2 + 414^2 .

It is not a de Polignac number, because 404685 - 27 = 404557 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17584 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (21567).

2404685 is an apocalyptic number.

404685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404685 is a deficient number, since it is larger than the sum of its proper divisors (371727).

404685 is a wasteful number, since it uses less digits than its factorization.

404685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 404685 is about 636.1485675532. The cubic root of 404685 is about 73.9671756053.

It can be divided in two parts, 404 and 685, that added together give a square (1089 = 332).

The spelling of 404685 in words is "four hundred four thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 17 23 45 51 69 85 115 153 207 255 345 391 529 765 1035 1173 1587 1955 2645 3519 4761 5865 7935 8993 17595 23805 26979 44965 80937 134895 404685