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450960512 = 2718772
BaseRepresentation
bin11010111000010…
…001110010000000
31011102120011112012
4122320101302000
51410421214022
6112425352052
714114046452
oct3270216200
91142504465
10450960512
11211612342
12107038628
1372574c52
1443c6c2d2
15298ccde2
hex1ae11c80

450960512 has 24 divisors (see below), whose sum is σ = 898876785. Its totient is φ = 225360128.

The previous prime is 450960511. The next prime is 450960529. The reversal of 450960512 is 215069054.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 443692096 + 7268416 = 21064^2 + 2696^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15016.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450960511) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 239318 + ... + 241194.

Almost surely, 2450960512 is an apocalyptic number.

It is an amenable number.

450960512 is a deficient number, since it is larger than the sum of its proper divisors (447916273).

450960512 is an frugal number, since it uses more digits than its factorization.

450960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 450960512 is about 21235.8308525944. The cubic root of 450960512 is about 766.8542667147.

Multiplying 450960512 by its sum of digits (32), we get a square (14430736384 = 1201282).

450960512 divided by its sum of digits (32) gives a square (14092516 = 37542).

The spelling of 450960512 in words is "four hundred fifty million, nine hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 1877 3754 7508 15016 30032 60064 120128 240256 3523129 7046258 14092516 28185032 56370064 112740128 225480256 450960512