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404728992 = 25321405309
BaseRepresentation
bin11000000111111…
…010110010100000
31001012120100210200
4120013322302200
51312102311432
6104054425200
713013065623
oct3007726240
91035510720
10404728992
11198505978
12b3662200
1365b08c15
143ba75dba
15257e9a7c
hex181faca0

404728992 has 36 divisors (see below), whose sum is σ = 1150948890. Its totient is φ = 134909568.

The previous prime is 404728991. The next prime is 404729027. The reversal of 404728992 is 299827404.

It can be written as a sum of positive squares in only one way, i.e., 374654736 + 30074256 = 19356^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (404728991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 702367 + ... + 702942.

Almost surely, 2404728992 is an apocalyptic number.

It is an amenable number.

404728992 is an abundant number, since it is smaller than the sum of its proper divisors (746219898).

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

404728992 is a wasteful number, since it uses less digits than its factorization.

404728992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405325 (or 1405314 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 404728992 is about 20117.8774228297. The cubic root of 404728992 is about 739.6985575246.

The spelling of 404728992 in words is "four hundred four million, seven hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1405309 2810618 4215927 5621236 8431854 11242472 12647781 16863708 22484944 25295562 33727416 44969888 50591124 67454832 101182248 134909664 202364496 404728992