Base | Representation |
---|---|
bin | 100101001010… |
… | …100000010100 |
3 | 200022222000000 |
4 | 211022200110 |
5 | 4443223411 |
6 | 544451300 |
7 | 145544241 |
oct | 45124024 |
9 | 20288000 |
10 | 9742356 |
11 | 5554638 |
12 | 3319b30 |
13 | 2031510 |
14 | 14185c8 |
15 | cc6956 |
hex | 94a814 |
9742356 has 84 divisors (see below), whose sum is σ = 27635412. Its totient is φ = 2985984.
The previous prime is 9742351. The next prime is 9742391. The reversal of 9742356 is 6532479.
It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 3572100 = 2484^2 + 1890^2 .
It is a super-3 number, since 3×97423563 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 9742356.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9742351) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37780 + ... + 38036.
It is an arithmetic number, because the mean of its divisors is an integer number (328993).
Almost surely, 29742356 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9742356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817706).
9742356 is an abundant number, since it is smaller than the sum of its proper divisors (17893056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9742356 is a wasteful number, since it uses less digits than its factorization.
9742356 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 292 (or 275 counting only the distinct ones).
The product of its digits is 45360, while the sum is 36.
The square root of 9742356 is about 3121.2747395896. The cubic root of 9742356 is about 213.5770900817.
Subtracting from 9742356 its product of digits (45360), we obtain a square (9696996 = 31142).
It can be divided in two parts, 97423 and 56, that added together give a palindrome (97479).
The spelling of 9742356 in words is "nine million, seven hundred forty-two thousand, three hundred fifty-six".
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