Base | Representation |
---|---|
bin | 100000000011… |
… | …000101100000 |
3 | 120210211100100 |
4 | 200003011200 |
5 | 4122314443 |
6 | 500022400 |
7 | 131260302 |
oct | 40030540 |
9 | 16724310 |
10 | 8401248 |
11 | 4818a89 |
12 | 2991a00 |
13 | 1981c6b |
14 | 1189972 |
15 | b0e3d3 |
hex | 803160 |
8401248 has 72 divisors (see below), whose sum is σ = 24687936. Its totient is φ = 2707200.
The previous prime is 8401243. The next prime is 8401259. The reversal of 8401248 is 8421048.
It is a tau number, because it is divible by the number of its divisors (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8401241) 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, 8458 + ... + 9398.
It is an arithmetic number, because the mean of its divisors is an integer number (342888).
Almost surely, 28401248 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 8401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343968).
8401248 is an abundant number, since it is smaller than the sum of its proper divisors (16286688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8401248 is a wasteful number, since it uses less digits than its factorization.
8401248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 988 (or 977 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
The square root of 8401248 is about 2898.4906416961. The cubic root of 8401248 is about 203.2893380284.
It can be divided in two parts, 8401 and 248, that added together give a square (8649 = 932).
The spelling of 8401248 in words is "eight million, four hundred one thousand, two hundred forty-eight".
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