Base | Representation |
---|---|
bin | 1101111100010110… |
… | …1111000010010000 |
3 | 100122211210002022012 |
4 | 3133011233002100 |
5 | 30131130310134 |
6 | 1415221402052 |
7 | 161515316036 |
oct | 33705570220 |
9 | 10584702265 |
10 | 3742822544 |
11 | 16507a8a7a |
12 | 885569328 |
13 | 4785680c6 |
14 | 27712a556 |
15 | 16d8c46ce |
hex | df16f090 |
3742822544 has 40 divisors (see below), whose sum is σ = 7710285528. Its totient is φ = 1753989120.
The previous prime is 3742822519. The next prime is 3742822613. The reversal of 3742822544 is 4452282473.
3742822544 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 4 ways, for example, as 449440000 + 3293382544 = 21200^2 + 57388^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37004 + ... + 94100.
Almost surely, 23742822544 is an apocalyptic number.
3742822544 is a gapful number since it is divisible by the number (34) 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 3742822544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855142764).
3742822544 is an abundant number, since it is smaller than the sum of its proper divisors (3967462984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3742822544 is a wasteful number, since it uses less digits than its factorization.
3742822544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57363 (or 57357 counting only the distinct ones).
The product of its digits is 430080, while the sum is 41.
The square root of 3742822544 is about 61178.6118181836. The cubic root of 3742822544 is about 1552.6244188282.
The spelling of 3742822544 in words is "three billion, seven hundred forty-two million, eight hundred twenty-two thousand, five hundred forty-four".
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