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450828 = 223271789
BaseRepresentation
bin1101110000100001100
3211220102100
41232010030
5103411303
613355100
73555240
oct1560414
9756370
10450828
11288794
12198a90
1312a281
14ba420
158d8a3
hex6e10c

450828 has 36 divisors (see below), whose sum is σ = 1303120. Its totient is φ = 128736.

The previous prime is 450817. The next prime is 450829. The reversal of 450828 is 828054.

450828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (450829) by changing a digit.

450828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643 + ... + 1146.

2450828 is an apocalyptic number.

It is an amenable number.

450828 is an abundant number, since it is smaller than the sum of its proper divisors (852292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450828 is a wasteful number, since it uses less digits than its factorization.

450828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 450828 is about 671.4372643814. The cubic root of 450828 is about 76.6779147538.

The spelling of 450828 in words is "four hundred fifty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1789 3578 5367 7156 10734 12523 16101 21468 25046 32202 37569 50092 64404 75138 112707 150276 225414 450828