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450214112 = 2541409839
BaseRepresentation
bin11010110101011…
…011100011100000
31011101011020122202
4122311123203200
51410223322422
6112401352332
714104520405
oct3265334340
91141136582
10450214112
11211152587
121069386a8
13723732aa
1443b162ac
15297d1b92
hex1ad5b8e0

450214112 has 48 divisors (see below), whose sum is σ = 911282400. Its totient is φ = 218818560.

The previous prime is 450214091. The next prime is 450214117. The reversal of 450214112 is 211412054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450214117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536189 + ... + 537027.

It is an arithmetic number, because the mean of its divisors is an integer number (18985050).

Almost surely, 2450214112 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 450214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455641200).

450214112 is an abundant number, since it is smaller than the sum of its proper divisors (461068288).

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

450214112 is a wasteful number, since it uses less digits than its factorization.

450214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 450214112 is about 21218.2495036702. The cubic root of 450214112 is about 766.4309509338.

Adding to 450214112 its reverse (211412054), we get a palindrome (661626166).

The spelling of 450214112 in words is "four hundred fifty million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 409 656 818 839 1312 1636 1678 3272 3356 6544 6712 13088 13424 16769 26848 33538 34399 67076 68798 134152 137596 268304 275192 343151 536608 550384 686302 1100768 1372604 2745208 5490416 10980832 14069191 28138382 56276764 112553528 225107056 450214112