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450025512 = 233314114753
BaseRepresentation
bin11010110100101…
…101100000101000
31011100210122221120
4122310231200220
51410201304022
6112353335240
714103103506
oct3264554050
91140718846
10450025512
11211033912
12106867520
13723084b1
1443aa7676
1529795d5c
hex1ad2d828

450025512 has 64 divisors (see below), whose sum is σ = 1189762560. Its totient is φ = 141619200.

The previous prime is 450025501. The next prime is 450025519. The reversal of 450025512 is 215520054.

It is a happy number.

It is a super-2 number, since 2×4500255122 = 405045922901724288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (450025519) 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 15 ways as a sum of consecutive naturals, for example, 23128 + ... + 37880.

It is an arithmetic number, because the mean of its divisors is an integer number (18590040).

Almost surely, 2450025512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450025512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594881280).

450025512 is an abundant number, since it is smaller than the sum of its proper divisors (739737048).

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

450025512 is a wasteful number, since it uses less digits than its factorization.

450025512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14834 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 450025512 is about 21213.8047506806. The cubic root of 450025512 is about 766.3239136653.

Adding to 450025512 its reverse (215520054), we get a palindrome (665545566).

The spelling of 450025512 in words is "four hundred fifty million, twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 744 984 1271 2542 3813 5084 7626 10168 14753 15252 29506 30504 44259 59012 88518 118024 177036 354072 457343 604873 914686 1209746 1372029 1814619 1829372 2419492 2744058 3629238 3658744 4838984 5488116 7258476 10976232 14516952 18751063 37502126 56253189 75004252 112506378 150008504 225012756 450025512