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404985 = 35721929
BaseRepresentation
bin1100010110111111001
3202120112110
41202313321
5100424420
612402533
73304500
oct1426771
9676473
10404985
112572a9
12176449
13112449
14a7837
157eee0
hex62df9

404985 has 48 divisors (see below), whose sum is σ = 820800. Its totient is φ = 169344.

The previous prime is 404983. The next prime is 405001. The reversal of 404985 is 589404.

It is not a de Polignac number, because 404985 - 21 = 404983 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (404981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13951 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2404985 is an apocalyptic number.

It is an amenable number.

404985 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

404985 is a wasteful number, since it uses less digits than its factorization.

404985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 404985 is about 636.3843178457. The cubic root of 404985 is about 73.9854488068.

The spelling of 404985 in words is "four hundred four thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 19 21 29 35 49 57 87 95 105 133 145 147 203 245 285 399 435 551 609 665 735 931 1015 1421 1653 1995 2755 2793 3045 3857 4263 4655 7105 8265 11571 13965 19285 21315 26999 57855 80997 134995 404985