Base | Representation |
---|---|
bin | 1000001101001100… |
… | …01011110110110001 |
3 | 102101000222201210000 |
4 | 10012212023312301 |
5 | 33010321000000 |
6 | 2005100100213 |
7 | 214114220211 |
oct | 40646136661 |
9 | 12330881700 |
10 | 4405640625 |
11 | 1960962011 |
12 | a2b534669 |
13 | 552989559 |
14 | 2db186241 |
15 | 1abba0000 |
hex | 10698bdb1 |
4405640625 has 105 divisors (see below), whose sum is σ = 8368271791. Its totient is φ = 2309850000.
The previous prime is 4405640623. The next prime is 4405640633. The reversal of 4405640625 is 5260465044.
The square root of 4405640625 is 66375.
It is a perfect power (a square), and thus also a powerful number.
4405640625 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 640 + 6 + 2 + 5 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 3859764129 + 545876496 = 62127^2 + 23364^2 .
It is not a de Polignac number, because 4405640625 - 21 = 4405640623 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 4405640625.
It is not an unprimeable number, because it can be changed into a prime (4405640623) by changing a digit.
It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 74671846 + ... + 74671904.
Almost surely, 24405640625 is an apocalyptic number.
4405640625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
4405640625 is the 66375-th square number.
4405640625 is the 33188-th centered octagonal number.
It is an amenable number.
4405640625 is a deficient number, since it is larger than the sum of its proper divisors (3962631166).
4405640625 is an frugal number, since it uses more digits than its factorization.
4405640625 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 36.
The cubic root of 4405640625 is about 1639.3424670489.
Multiplying 4405640625 by its sum of digits (36), we get a square (158603062500 = 3982502).
It can be divided in two parts, 44056 and 40625, that added together give a square (84681 = 2912).
The spelling of 4405640625 in words is "four billion, four hundred five million, six hundred forty thousand, six hundred twenty-five".
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