Base | Representation |
---|---|
bin | 1010100001001… |
… | …0100000110100 |
3 | 10002000022210200 |
4 | 2220102200310 |
5 | 42243203040 |
6 | 4213320500 |
7 | 1043660064 |
oct | 250224064 |
9 | 102008720 |
10 | 44116020 |
11 | 229a2023 |
12 | 12936130 |
13 | 91a8170 |
14 | 5c053a4 |
15 | 3d16630 |
hex | 2a12834 |
44116020 has 144 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 10211328.
The previous prime is 44116019. The next prime is 44116067. The reversal of 44116020 is 2061144.
It can be written as a sum of positive squares in 8 ways, for example, as 8259876 + 35856144 = 2874^2 + 5988^2 .
It is a super-4 number, since 4×441160204 (a number of 32 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 44115984 and 44116002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39226 + ... + 40334.
It is an arithmetic number, because the mean of its divisors is an integer number (1060605).
Almost surely, 244116020 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 44116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).
44116020 is an abundant number, since it is smaller than the sum of its proper divisors (108611100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44116020 is a wasteful number, since it uses less digits than its factorization.
44116020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 44116020 is about 6641.9891598828. The cubic root of 44116020 is about 353.3448574225.
Adding to 44116020 its reverse (2061144), we get a palindrome (46177164).
It can be divided in two parts, 441 and 16020, that added together give a palindrome (16461).
The spelling of 44116020 in words is "forty-four million, one hundred sixteen thousand, twenty".
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