Base | Representation |
---|---|
bin | 1100100010110… |
… | …11100001000000 |
3 | 21100000100210002 |
4 | 12101123201000 |
5 | 203414414243 |
6 | 14235255132 |
7 | 2415314066 |
oct | 621334100 |
9 | 240010702 |
10 | 105232448 |
11 | 54445772 |
12 | 2b2aa4a8 |
13 | 18a56329 |
14 | dd94036 |
15 | 9389eb8 |
hex | 645b840 |
105232448 has 42 divisors (see below), whose sum is σ = 221817438. Its totient is φ = 49361920.
The previous prime is 105232447. The next prime is 105232453. The reversal of 105232448 is 844232501.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 99042304 + 6190144 = 9952^2 + 2488^2 .
It is a super-2 number, since 2×1052324482 = 22147736224145408, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105232448.
It is not an unprimeable number, because it can be changed into a prime (105232441) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 338213 + ... + 338523.
Almost surely, 2105232448 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 105232448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110908719).
105232448 is an abundant number, since it is smaller than the sum of its proper divisors (116584990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105232448 is an frugal number, since it uses more digits than its factorization.
105232448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 651 (or 330 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 29.
The square root of 105232448 is about 10258.2867965367. The cubic root of 105232448 is about 472.1172743162.
Adding to 105232448 its reverse (844232501), we get a palindrome (949464949).
The spelling of 105232448 in words is "one hundred five million, two hundred thirty-two thousand, four hundred forty-eight".
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