Base | Representation |
---|---|
bin | 10100101110101010000000 |
3 | 101020002000200 |
4 | 110232222000 |
5 | 2342341414 |
6 | 312245200 |
7 | 64121343 |
oct | 24565200 |
9 | 11202020 |
10 | 5433984 |
11 | 30816a6 |
12 | 19a0800 |
13 | 118349a |
14 | a1645a |
15 | 725109 |
hex | 52ea80 |
5433984 has 96 divisors (see below), whose sum is σ = 16110900. Its totient is φ = 1757184.
The previous prime is 5433983. The next prime is 5433997. The reversal of 5433984 is 4893345.
5433984 = T304 + T305 + ... + T392.
5433984 is a `hidden beast` number, since 543 + 39 + 84 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 14400 = 2328^2 + 120^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×54339842 = 59056364224512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (51840) is a multiple of the sum of its prime factors (162).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5433983) 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, 61012 + ... + 61100.
Almost surely, 25433984 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 5433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055450).
5433984 is an abundant number, since it is smaller than the sum of its proper divisors (10676916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5433984 is a wasteful number, since it uses less digits than its factorization.
5433984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 147 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 5433984 is about 2331.0907318249. The cubic root of 5433984 is about 175.8083312883.
The spelling of 5433984 in words is "five million, four hundred thirty-three thousand, nine hundred eighty-four".
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