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450464 = 2572011
BaseRepresentation
bin1101101111110100000
3211212220212
41231332200
5103403324
613353252
73554210
oct1557640
9755825
10450464
11288493
12198828
1312a061
14ba240
158d70e
hex6dfa0

450464 has 24 divisors (see below), whose sum is σ = 1014048. Its totient is φ = 192960.

The previous prime is 450451. The next prime is 450473. The reversal of 450464 is 464054.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (42252).

2450464 is an apocalyptic number.

It is an amenable number.

450464 is an abundant number, since it is smaller than the sum of its proper divisors (563584).

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

450464 is a wasteful number, since it uses less digits than its factorization.

450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 450464 is about 671.1661493252. The cubic root of 450464 is about 76.6572725310.

The spelling of 450464 in words is "four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2011 4022 8044 14077 16088 28154 32176 56308 64352 112616 225232 450464