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404905985 = 51137198971
BaseRepresentation
bin11000001000100…
…110000000000001
31001012220100120222
4120020212000001
51312123442420
6104102312425
713014433631
oct3010460001
91035810528
10404905985
11198616950
12b3728715
1365b6b653
143bac06c1
1525832225
hex18226001

404905985 has 16 divisors (see below), whose sum is σ = 544387392. Its totient is φ = 286516800.

The previous prime is 404905957. The next prime is 404905993. The reversal of 404905985 is 589509404.

It is not a de Polignac number, because 404905985 - 210 = 404904961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97451 + ... + 101520.

It is an arithmetic number, because the mean of its divisors is an integer number (34024212).

Almost surely, 2404905985 is an apocalyptic number.

It is an amenable number.

404905985 is a deficient number, since it is larger than the sum of its proper divisors (139481407).

404905985 is a wasteful number, since it uses less digits than its factorization.

404905985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199024.

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 404905985 is about 20122.2758404709. The cubic root of 404905985 is about 739.8063682568.

The spelling of 404905985 in words is "four hundred four million, nine hundred five thousand, nine hundred eighty-five".

Divisors: 1 5 11 37 55 185 407 2035 198971 994855 2188681 7361927 10943405 36809635 80981197 404905985