Base | Representation |
---|---|
bin | 100101001010… |
… | …100011001000 |
3 | 200022222020200 |
4 | 211022203020 |
5 | 4443230121 |
6 | 544452200 |
7 | 145544616 |
oct | 45124310 |
9 | 20288220 |
10 | 9742536 |
11 | 5554791 |
12 | 331a060 |
13 | 203161b |
14 | 14186b6 |
15 | cc6a26 |
hex | 94a8c8 |
9742536 has 48 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 3177312.
The previous prime is 9742511. The next prime is 9742541. The reversal of 9742536 is 6352479.
It is a super-2 number, since 2×97425362 = 189834015422592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a d-powerful number, because it can be written as 97 + 76 + 46 + 213 + 5 + 314 + 66 .
It is a self number, because there is not a number n which added to its sum of digits gives 9742536.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1945 + ... + 4823.
It is an arithmetic number, because the mean of its divisors is an integer number (561600).
Almost surely, 29742536 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 9742536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).
9742536 is an abundant number, since it is smaller than the sum of its proper divisors (17214264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9742536 is a wasteful number, since it uses less digits than its factorization.
9742536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2938 (or 2931 counting only the distinct ones).
The product of its digits is 45360, while the sum is 36.
The square root of 9742536 is about 3121.3035738294. The cubic root of 9742536 is about 213.5784054254.
It can be divided in two parts, 97425 and 36, that added together give a triangular number (97461 = T441).
The spelling of 9742536 in words is "nine million, seven hundred forty-two thousand, five hundred thirty-six".
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