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415485 = 32571319
BaseRepresentation
bin1100101011011111101
3210002221100
41211123331
5101243420
612523313
73350220
oct1453375
9702840
10415485
11264184
12180539
13117165
14ab5b7
1583190
hex656fd

415485 has 24 divisors (see below), whose sum is σ = 823680. Its totient is φ = 189792.

The previous prime is 415477. The next prime is 415489. The reversal of 415485 is 584514.

It is not a de Polignac number, because 415485 - 23 = 415477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415489) 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 23 ways as a sum of consecutive naturals, for example, 345 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (34320).

2415485 is an apocalyptic number.

415485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415485 is a deficient number, since it is larger than the sum of its proper divisors (408195).

415485 is a wasteful number, since it uses less digits than its factorization.

415485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1334 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 415485 is about 644.5812594235. The cubic root of 415485 is about 74.6194052353.

Adding to 415485 its reverse (584514), we get a palindrome (999999).

It can be divided in two parts, 415 and 485, that added together give a square (900 = 302).

The spelling of 415485 in words is "four hundred fifteen thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1319 3957 6595 9233 11871 19785 27699 46165 59355 83097 138495 415485