Base | Representation |
---|---|
bin | 1010100100111… |
… | …1111001010000 |
3 | 10002111002200112 |
4 | 2221033321100 |
5 | 42324224230 |
6 | 4222540452 |
7 | 1046055065 |
oct | 251177120 |
9 | 102432615 |
10 | 44367440 |
11 | 23053a07 |
12 | 12a37728 |
13 | 9265730 |
14 | 5c6cc6c |
15 | 3d65d95 |
hex | 2a4fe50 |
44367440 has 80 divisors (see below), whose sum is σ = 114190608. Its totient is φ = 15925248.
The previous prime is 44367431. The next prime is 44367461. The reversal of 44367440 is 4476344.
44367440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 595984 + 43771456 = 772^2 + 6616^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 44367397 and 44367406.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 37904 + ... + 39056.
Almost surely, 244367440 is an apocalyptic number.
44367440 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 44367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57095304).
44367440 is an abundant number, since it is smaller than the sum of its proper divisors (69823168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44367440 is a wasteful number, since it uses less digits than its factorization.
44367440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 32.
The square root of 44367440 is about 6660.8888295782. Note that the first 4 decimals coincide. The cubic root of 44367440 is about 354.0148312171.
The spelling of 44367440 in words is "forty-four million, three hundred sixty-seven thousand, four hundred forty".
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