Base | Representation |
---|---|
bin | 11111111100100000000000 |
3 | 120202110100020 |
4 | 133330200000 |
5 | 4120434042 |
6 | 455253440 |
7 | 131115534 |
oct | 37744000 |
9 | 16673306 |
10 | 8374272 |
11 | 47aa795 |
12 | 297a280 |
13 | 19728ba |
14 | 117dbc4 |
15 | b063ec |
hex | 7fc800 |
8374272 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2637824.
The previous prime is 8374271. The next prime is 8374339. The reversal of 8374272 is 2724738.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (8374271) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178153 + ... + 178199.
It is an arithmetic number, because the mean of its divisors is an integer number (245700).
Almost surely, 28374272 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 8374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).
8374272 is an abundant number, since it is smaller than the sum of its proper divisors (15212928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8374272 is a wasteful number, since it uses less digits than its factorization.
8374272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 101 (or 81 counting only the distinct ones).
The product of its digits is 18816, while the sum is 33.
The square root of 8374272 is about 2893.8334437213. The cubic root of 8374272 is about 203.0715206587.
It can be divided in two parts, 8374 and 272, that added together give a triangular number (8646 = T131).
The spelling of 8374272 in words is "eight million, three hundred seventy-four thousand, two hundred seventy-two".
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