Base | Representation |
---|---|
bin | 11010100001001… |
… | …101011001011000 |
3 | 1011000011221020011 |
4 | 122201031121120 |
5 | 1402344210430 |
6 | 112052011304 |
7 | 14011462102 |
oct | 3241153130 |
9 | 1130157204 |
10 | 444913240 |
11 | 2091619a2 |
12 | 105000b34 |
13 | 71238595 |
14 | 43136572 |
15 | 290d622a |
hex | 1a84d658 |
444913240 has 48 divisors (see below), whose sum is σ = 1035074880. Its totient is φ = 171936960.
The previous prime is 444913207. The next prime is 444913241. The reversal of 444913240 is 42319444.
It is a super-2 number, since 2×4449132402 = 395895582254595200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (31).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (444913241) 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 11 ways as a sum of consecutive naturals, for example, 742461 + ... + 743059.
It is an arithmetic number, because the mean of its divisors is an integer number (21564060).
Almost surely, 2444913240 is an apocalyptic number.
444913240 is a gapful number since it is divisible by the number (40) 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 444913240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517537440).
444913240 is an abundant number, since it is smaller than the sum of its proper divisors (590161640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444913240 is an equidigital number, since it uses as much as digits as its factorization.
444913240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1240 (or 637 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 31.
The square root of 444913240 is about 21092.9666002675. The cubic root of 444913240 is about 763.4110525589.
It can be divided in two parts, 4449 and 13240, that added together give a square (17689 = 1332).
The spelling of 444913240 in words is "four hundred forty-four million, nine hundred thirteen thousand, two hundred forty".
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