Base | Representation |
---|---|
bin | 1111000100101… |
… | …1111000000000 |
3 | 11101222011212102 |
4 | 3301023320000 |
5 | 112141202334 |
6 | 10135045532 |
7 | 1365256310 |
oct | 361137000 |
9 | 141864772 |
10 | 63225344 |
11 | 32764156 |
12 | 192108a8 |
13 | 10139060 |
14 | 857b440 |
15 | 583d67e |
hex | 3c4be00 |
63225344 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 23519232.
The previous prime is 63225317. The next prime is 63225347. The reversal of 63225344 is 44352236.
Its product of digits (17280) is a multiple of the sum of its prime factors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63225347) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 1071587 + ... + 1071645.
It is an arithmetic number, because the mean of its divisors is an integer number (1031184).
Almost surely, 263225344 is an apocalyptic number.
63225344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 63225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).
63225344 is an abundant number, since it is smaller than the sum of its proper divisors (101764096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63225344 is a wasteful number, since it uses less digits than its factorization.
63225344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 104 counting only the distinct ones).
The product of its digits is 17280, while the sum is 29.
The square root of 63225344 is about 7951.4365997598. The cubic root of 63225344 is about 398.3795777772.
The spelling of 63225344 in words is "sixty-three million, two hundred twenty-five thousand, three hundred forty-four".
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