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415409805 = 3259231329
BaseRepresentation
bin11000110000101…
…010011010001101
31001221200000010100
4120300222122031
51322321103210
6105115401313
713202632206
oct3060523215
91057600110
10415409805
111a3540598
12b7153239
13680a8625
143d2565ad
15267095c0
hex18c2a68d

415409805 has 12 divisors (see below), whose sum is σ = 720043740. Its totient is φ = 221551872.

The previous prime is 415409803. The next prime is 415409821. The reversal of 415409805 is 508904514.

It can be written as a sum of positive squares in 2 ways, for example, as 106564329 + 308845476 = 10323^2 + 17574^2 .

It is not a de Polignac number, because 415409805 - 21 = 415409803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415409805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415409803) 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 11 ways as a sum of consecutive naturals, for example, 4615620 + ... + 4615709.

It is an arithmetic number, because the mean of its divisors is an integer number (60003645).

Almost surely, 2415409805 is an apocalyptic number.

415409805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415409805 is a deficient number, since it is larger than the sum of its proper divisors (304633935).

415409805 is a wasteful number, since it uses less digits than its factorization.

415409805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231340 (or 9231337 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 415409805 is about 20381.6045737327. The cubic root of 415409805 is about 746.1490339231.

The spelling of 415409805 in words is "four hundred fifteen million, four hundred nine thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 9231329 27693987 46156645 83081961 138469935 415409805