Base | Representation |
---|---|
bin | 10001010101111101000000 |
3 | 22112222110000 |
4 | 101111331000 |
5 | 2130440433 |
6 | 241240000 |
7 | 53433501 |
oct | 21257500 |
9 | 8488400 |
10 | 4546368 |
11 | 2625832 |
12 | 1633000 |
13 | c32478 |
14 | 864ba8 |
15 | 5ec113 |
hex | 455f40 |
4546368 has 70 divisors (see below), whose sum is σ = 13492226. Its totient is φ = 1513728.
The previous prime is 4546351. The next prime is 4546397. The reversal of 4546368 is 8636454.
It can be written as a sum of positive squares in only one way, i.e., 4359744 + 186624 = 2088^2 + 432^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4746 + ... + 5622.
Almost surely, 24546368 is an apocalyptic number.
4546368 is a gapful number since it is divisible by the number (48) 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 4546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746113).
4546368 is an abundant number, since it is smaller than the sum of its proper divisors (8945858).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4546368 is an equidigital number, since it uses as much as digits as its factorization.
4546368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 901 (or 882 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 4546368 is about 2132.2213768744. The cubic root of 4546368 is about 165.6614768596.
The spelling of 4546368 in words is "four million, five hundred forty-six thousand, three hundred sixty-eight".
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