Base | Representation |
---|---|
bin | 1000100111010010… |
… | …01111000100010000 |
3 | 102221021220011210000 |
4 | 10103221033010100 |
5 | 33432340402031 |
6 | 2042520010000 |
7 | 222412655421 |
oct | 42351170420 |
9 | 12837804700 |
10 | 4624544016 |
11 | 1a63486404 |
12 | a90900900 |
13 | 589131aa1 |
14 | 31c289648 |
15 | 1c0ee03e6 |
hex | 113a4f110 |
4624544016 has 75 divisors (see below), whose sum is σ = 13391861461. Its totient is φ = 1540698624.
The previous prime is 4624544003. The next prime is 4624544063. The reversal of 4624544016 is 6104454264.
The square root of 4624544016 is 68004.
It is a perfect power (a square), and thus also a powerful number.
4624544016 is a `hidden beast` number, since 4 + 6 + 245 + 4 + 401 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 2227462416 + 2397081600 = 47196^2 + 48960^2 .
It is a super-3 number, since 3×46245440163 (a number of 30 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 2447200 + ... + 2449088.
Almost surely, 24624544016 is an apocalyptic number.
4624544016 is the 68004-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4624544016
4624544016 is an abundant number, since it is smaller than the sum of its proper divisors (8767317445).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4624544016 is an frugal number, since it uses more digits than its factorization.
4624544016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3798 (or 1894 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The cubic root of 4624544016 is about 1666.0561694343.
Multiplying 4624544016 by its sum of digits (36), we get a square (166483584576 = 4080242).
4624544016 divided by its sum of digits (36) gives a square (128459556 = 113342).
The spelling of 4624544016 in words is "four billion, six hundred twenty-four million, five hundred forty-four thousand, sixteen".
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