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450204012 = 2232193717789
BaseRepresentation
bin11010110101011…
…001000101101100
31011101010201210200
4122311121011230
51410223012022
6112401233500
714104446066
oct3265310554
91141121720
10450204012
11211145a35
12106932890
137236b80b
1443b12736
15297cdbac
hex1ad5916c

450204012 has 72 divisors (see below), whose sum is σ = 1230356400. Its totient is φ = 138319488.

The previous prime is 450204011. The next prime is 450204019. The reversal of 450204012 is 210402054.

450204012 is a `hidden beast` number, since 450 + 204 + 0 + 12 = 666.

It is a super-2 number, since 2×4502040122 = 405367304841792288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (450204011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16414 + ... + 34202.

Almost surely, 2450204012 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 450204012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615178200).

450204012 is an abundant number, since it is smaller than the sum of its proper divisors (780152388).

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

450204012 is a wasteful number, since it uses less digits than its factorization.

450204012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17855 (or 17850 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 450204012 is about 21218.0114996670. The cubic root of 450204012 is about 766.4252195790.

Adding to 450204012 its reverse (210402054), we get a palindrome (660606066).

The spelling of 450204012 in words is "four hundred fifty million, two hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 17789 25308 35578 53367 71156 106734 160101 213468 320202 337991 640404 658193 675982 1013973 1316386 1351964 1974579 2027946 2632772 3041919 3949158 4055892 5923737 6083838 7898316 11847474 12167676 12505667 23694948 25011334 37517001 50022668 75034002 112551003 150068004 225102006 450204012