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409095945 = 3259091021
BaseRepresentation
bin11000011000100…
…100111100001001
31001111210020010200
4120120210330021
51314212032240
6104332202413
713065154356
oct3030447411
91044706120
10409095945
1119aa18925
12b5009409
13669a780b
143c49162d
1525dad930
hex18624f09

409095945 has 12 divisors (see below), whose sum is σ = 709099716. Its totient is φ = 218184480.

The previous prime is 409095899. The next prime is 409095949. The reversal of 409095945 is 549590904.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 358458489 = 7116^2 + 18933^2 .

It is not a de Polignac number, because 409095945 - 28 = 409095689 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: 9091021 = 409095945 / (4 + 0 + 9 + 0 + 9 + 5 + 9 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 409095945.

It is not an unprimeable number, because it can be changed into a prime (409095949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4545466 + ... + 4545555.

It is an arithmetic number, because the mean of its divisors is an integer number (59091643).

Almost surely, 2409095945 is an apocalyptic number.

409095945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409095945 is a deficient number, since it is larger than the sum of its proper divisors (300003771).

409095945 is a wasteful number, since it uses less digits than its factorization.

409095945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091032 (or 9091029 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 409095945 is about 20226.1203645187. The cubic root of 409095945 is about 742.3494508222.

The spelling of 409095945 in words is "four hundred nine million, ninety-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 9091021 27273063 45455105 81819189 136365315 409095945