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404840925 = 325212771409
BaseRepresentation
bin11000001000010…
…110000111011101
31001012210001100100
4120020112013131
51312114402200
6104101051313
713014043146
oct3010260735
91035701310
10404840925
11198581a85
12b36b6b39
1365b47b58
143baa4acd
152581cd00
hex182161dd

404840925 has 36 divisors (see below), whose sum is σ = 726197940. Its totient is φ = 215592960.

The previous prime is 404840921. The next prime is 404840927. The reversal of 404840925 is 529048404.

It can be written as a sum of positive squares in 6 ways, for example, as 60886809 + 343954116 = 7803^2 + 18546^2 .

It is not a de Polignac number, because 404840925 - 22 = 404840921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404840925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404840921) 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 35 ways as a sum of consecutive naturals, for example, 286621 + ... + 288029.

It is an arithmetic number, because the mean of its divisors is an integer number (20172165).

Almost surely, 2404840925 is an apocalyptic number.

404840925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404840925 is a deficient number, since it is larger than the sum of its proper divisors (321357015).

404840925 is a wasteful number, since it uses less digits than its factorization.

404840925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 404840925 is about 20120.6591591826. The cubic root of 404840925 is about 739.7667422841.

The spelling of 404840925 in words is "four hundred four million, eight hundred forty thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1277 1409 3831 4227 6385 7045 11493 12681 19155 21135 31925 35225 57465 63405 95775 105675 287325 317025 1799293 5397879 8996465 16193637 26989395 44982325 80968185 134946975 404840925