Base | Representation |
---|---|
bin | 100101111011… |
… | …110110110000 |
3 | 200201020021200 |
4 | 211323312300 |
5 | 10021210441 |
6 | 553051200 |
7 | 150345462 |
oct | 45736660 |
9 | 20636250 |
10 | 9944496 |
11 | 56824a1 |
12 | 33b6b00 |
13 | 20a2523 |
14 | 146c132 |
15 | d167b6 |
hex | 97bdb0 |
9944496 has 60 divisors (see below), whose sum is σ = 28377648. Its totient is φ = 3249792.
The previous prime is 9944491. The next prime is 9944497. The reversal of 9944496 is 6944499.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (9944491) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6981 + ... + 8283.
Almost surely, 29944496 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 9944496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188824).
9944496 is an abundant number, since it is smaller than the sum of its proper divisors (18433152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9944496 is a wasteful number, since it uses less digits than its factorization.
9944496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1370 (or 1361 counting only the distinct ones).
The product of its digits is 279936, while the sum is 45.
The square root of 9944496 is about 3153.4894957808. The cubic root of 9944496 is about 215.0441301157.
It can be divided in two parts, 9944 and 496, that added together give a triangular number (10440 = T144).
The spelling of 9944496 in words is "nine million, nine hundred forty-four thousand, four hundred ninety-six".
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