Base | Representation |
---|---|
bin | 100110000100… |
… | …000011000000 |
3 | 200202221022100 |
4 | 212010003000 |
5 | 10023244143 |
6 | 553510400 |
7 | 150545343 |
oct | 46040300 |
9 | 20687270 |
10 | 9978048 |
11 | 56a5723 |
12 | 3412400 |
13 | 20b4892 |
14 | 147a45a |
15 | d216d3 |
hex | 9840c0 |
9978048 has 84 divisors (see below), whose sum is σ = 30312360. Its totient is φ = 3127296.
The previous prime is 9978041. The next prime is 9978079. The reversal of 9978048 is 8408799.
It is a super-2 number, since 2×99780482 = 199122883780608, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 9977994 and 9978012.
It is not an unprimeable number, because it can be changed into a prime (9978041) 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, 9283 + ... + 10301.
Almost surely, 29978048 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 9978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156180).
9978048 is an abundant number, since it is smaller than the sum of its proper divisors (20334312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9978048 is a wasteful number, since it uses less digits than its factorization.
9978048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 45.
The square root of 9978048 is about 3158.8048372763. The cubic root of 9978048 is about 215.2857063389.
It can be divided in two parts, 997 and 8048, that added together give a triangular number (9045 = T134).
The spelling of 9978048 in words is "nine million, nine hundred seventy-eight thousand, forty-eight".
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