Base | Representation |
---|---|
bin | 11010110101110… |
… | …110000000000000 |
3 | 1011101100202020121 |
4 | 122311312000000 |
5 | 1410240304212 |
6 | 112403550024 |
7 | 14105451250 |
oct | 3265660000 |
9 | 1141322217 |
10 | 450322432 |
11 | 2112169aa |
12 | 10698b314 |
13 | 723b06a1 |
14 | 43b43960 |
15 | 29803d07 |
hex | 1ad76000 |
450322432 has 56 divisors (see below), whose sum is σ = 1029376656. Its totient is φ = 192970752.
The previous prime is 450322427. The next prime is 450322441. The reversal of 450322432 is 234223054.
It is a tau number, because it is divible by the number of its divisors (56).
It is a junction number, because it is equal to n+sod(n) for n = 450322397 and 450322406.
It is a congruent 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, 53418 + ... + 61270.
It is an arithmetic number, because the mean of its divisors is an integer number (18381726).
Almost surely, 2450322432 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 450322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514688328).
450322432 is an abundant number, since it is smaller than the sum of its proper divisors (579054224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
450322432 is an frugal number, since it uses more digits than its factorization.
450322432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7886 (or 7862 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 25.
The square root of 450322432 is about 21220.8018698634. The cubic root of 450322432 is about 766.4924129073.
Adding to 450322432 its reverse (234223054), we get a palindrome (684545486).
The spelling of 450322432 in words is "four hundred fifty million, three hundred twenty-two thousand, four hundred thirty-two".
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