Base | Representation |
---|---|
bin | 11001010100100… |
… | …111000110100100 |
3 | 1002121101202221000 |
4 | 121110213012210 |
5 | 1332224132234 |
6 | 110053353300 |
7 | 13346011320 |
oct | 3124470644 |
9 | 1077352830 |
10 | 424833444 |
11 | 1a8897722 |
12 | ba338830 |
13 | 6a027a49 |
14 | 405ca980 |
15 | 2746b899 |
hex | 195271a4 |
424833444 has 96 divisors (see below), whose sum is σ = 1270160640. Its totient is φ = 120282624.
The previous prime is 424833443. The next prime is 424833457. The reversal of 424833444 is 444338424.
It is a super-2 number, since 2×4248334442 = 360966910281802272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 424833399 and 424833408.
It is not an unprimeable number, because it can be changed into a prime (424833443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82942 + ... + 87914.
It is an arithmetic number, because the mean of its divisors is an integer number (13230840).
Almost surely, 2424833444 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 424833444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635080320).
424833444 is an abundant number, since it is smaller than the sum of its proper divisors (845327196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424833444 is a wasteful number, since it uses less digits than its factorization.
424833444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5106 (or 5098 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
The square root of 424833444 is about 20611.4881558804. The cubic root of 424833444 is about 751.7490698354.
The spelling of 424833444 in words is "four hundred twenty-four million, eight hundred thirty-three thousand, four hundred forty-four".
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