Base | Representation |
---|---|
bin | 100001011110111… |
… | …101110100101000 |
3 | 1110011001122122000 |
4 | 201132331310220 |
5 | 2122303000142 |
6 | 131424331000 |
7 | 16630633536 |
oct | 4136756450 |
9 | 1404048560 |
10 | 561765672 |
11 | 269113956 |
12 | 138173a60 |
13 | 8c4cc930 |
14 | 54873156 |
15 | 344b914c |
hex | 217bdd28 |
561765672 has 128 divisors (see below), whose sum is σ = 1726233600. Its totient is φ = 168148224.
The previous prime is 561765661. The next prime is 561765683. The reversal of 561765672 is 276567165.
It is an interprime number because it is at equal distance from previous prime (561765661) and next prime (561765683).
It is a super-3 number, since 3×5617656723 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101193 + ... + 106599.
It is an arithmetic number, because the mean of its divisors is an integer number (13486200).
Almost surely, 2561765672 is an apocalyptic number.
561765672 is a gapful number since it is divisible by the number (52) 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 561765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863116800).
561765672 is an abundant number, since it is smaller than the sum of its proper divisors (1164467928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
561765672 is a wasteful number, since it uses less digits than its factorization.
561765672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5472 (or 5462 counting only the distinct ones).
The product of its digits is 529200, while the sum is 45.
The square root of 561765672 is about 23701.5964019304. The cubic root of 561765672 is about 825.1224413313.
It can be divided in two parts, 5617 and 65672, that added together give a square (71289 = 2672).
The spelling of 561765672 in words is "five hundred sixty-one million, seven hundred sixty-five thousand, six hundred seventy-two".
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