Base | Representation |
---|---|
bin | 100101100111… |
… | …111101010000 |
3 | 200120002111000 |
4 | 211213331100 |
5 | 10011103432 |
6 | 551222000 |
7 | 146556036 |
oct | 45477520 |
9 | 20502430 |
10 | 9862992 |
11 | 5627237 |
12 | 3377900 |
13 | 20743b9 |
14 | 144a556 |
15 | cec57c |
hex | 967f50 |
9862992 has 120 divisors (see below), whose sum is σ = 30454400. Its totient is φ = 3055104.
The previous prime is 9862981. The next prime is 9862999. The reversal of 9862992 is 2992689.
It is a super-2 number, since 2×98629922 = 194557222384128, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9862999) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 124809 + ... + 124887.
Almost surely, 29862992 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 9862992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227200).
9862992 is an abundant number, since it is smaller than the sum of its proper divisors (20591408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9862992 is a wasteful number, since it uses less digits than its factorization.
9862992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 101 counting only the distinct ones).
The product of its digits is 139968, while the sum is 45.
The square root of 9862992 is about 3140.5400809415. The cubic root of 9862992 is about 214.4550250466.
The spelling of 9862992 in words is "nine million, eight hundred sixty-two thousand, nine hundred ninety-two".
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