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450385 = 513341
BaseRepresentation
bin1101101111101010001
3211212210221
41231331101
5103403020
613353041
73554035
oct1557521
9755727
10450385
11288421
12198781
1312a000
14ba1c5
158d6aa
hex6df51

450385 has 16 divisors (see below), whose sum is σ = 599760. Its totient is φ = 324480.

The previous prime is 450383. The next prime is 450391. The reversal of 450385 is 583054.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 425104 + 25281 = 652^2 + 159^2 .

It is not a de Polignac number, because 450385 - 21 = 450383 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (450383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10965 + ... + 11005.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2450385 is an apocalyptic number.

It is an amenable number.

450385 is a deficient number, since it is larger than the sum of its proper divisors (149375).

450385 is an equidigital number, since it uses as much as digits as its factorization.

450385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 450385 is about 671.1072939553. The cubic root of 450385 is about 76.6527910196.

The spelling of 450385 in words is "four hundred fifty thousand, three hundred eighty-five".

Divisors: 1 5 13 41 65 169 205 533 845 2197 2665 6929 10985 34645 90077 450385