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408961485 = 3259088033
BaseRepresentation
bin11000011000000…
…100000111001101
31001111112101200200
4120120010013031
51314143231420
6104325244113
713064054352
oct3030040715
91044471620
10408961485
1119a9368a9
12b4b63639
136695b55a
143c458629
1525d83b90
hex186041cd

408961485 has 12 divisors (see below), whose sum is σ = 708866652. Its totient is φ = 218112768.

The previous prime is 408961477. The next prime is 408961513. The reversal of 408961485 is 584169804.

It can be written as a sum of positive squares in 2 ways, for example, as 177982281 + 230979204 = 13341^2 + 15198^2 .

It is not a de Polignac number, because 408961485 - 23 = 408961477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9088033 = 408961485 / (4 + 0 + 8 + 9 + 6 + 1 + 4 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 408961485.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4543972 + ... + 4544061.

It is an arithmetic number, because the mean of its divisors is an integer number (59072221).

Almost surely, 2408961485 is an apocalyptic number.

408961485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408961485 is a deficient number, since it is larger than the sum of its proper divisors (299905167).

408961485 is a wasteful number, since it uses less digits than its factorization.

408961485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088044 (or 9088041 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 408961485 is about 20222.7961716475. The cubic root of 408961485 is about 742.2681111054.

The spelling of 408961485 in words is "four hundred eight million, nine hundred sixty-one thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 45 9088033 27264099 45440165 81792297 136320495 408961485