Base | Representation |
---|---|
bin | 10101100001100100000000 |
3 | 101121200001100 |
4 | 111201210000 |
5 | 2421024441 |
6 | 320534400 |
7 | 65650266 |
oct | 25414400 |
9 | 11550040 |
10 | 5642496 |
11 | 3204322 |
12 | 1a81400 |
13 | 1227372 |
14 | a6c436 |
15 | 766cb6 |
hex | 561900 |
5642496 has 108 divisors (see below), whose sum is σ = 17006080. Its totient is φ = 1797120.
The previous prime is 5642489. The next prime is 5642509. The reversal of 5642496 is 6942465.
5642496 is a `hidden beast` number, since 5 + 642 + 4 + 9 + 6 = 666.
It is a super-3 number, since 3×56424963 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 5642496.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71385 + ... + 71463.
Almost surely, 25642496 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 5642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503040).
5642496 is an abundant number, since it is smaller than the sum of its proper divisors (11363584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5642496 is a wasteful number, since it uses less digits than its factorization.
5642496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 115 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 5642496 is about 2375.3938620785. The cubic root of 5642496 is about 178.0288637282.
The spelling of 5642496 in words is "five million, six hundred forty-two thousand, four hundred ninety-six".
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