Base | Representation |
---|---|
bin | 10001011101111… |
… | …11010110000000 |
3 | 101012201210100011 |
4 | 20232333112000 |
5 | 300003121213 |
6 | 22312434304 |
7 | 3426351046 |
oct | 1056772600 |
9 | 335653304 |
10 | 146535808 |
11 | 75796581 |
12 | 410a8994 |
13 | 244881a3 |
14 | 15666396 |
15 | cce803d |
hex | 8bbf580 |
146535808 has 32 divisors (see below), whose sum is σ = 293154120. Its totient is φ = 72960000.
The previous prime is 146535803. The next prime is 146535817. The reversal of 146535808 is 808535641.
146535808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146535803) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29848 + ... + 34408.
Almost surely, 2146535808 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 146535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146577060).
146535808 is an abundant number, since it is smaller than the sum of its proper divisors (146618312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146535808 is an equidigital number, since it uses as much as digits as its factorization.
146535808 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4826 (or 4814 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 40.
The square root of 146535808 is about 12105.1975613783. The cubic root of 146535808 is about 527.2071049814.
It can be divided in two parts, 1465 and 35808, that added together give a palindrome (37273).
The spelling of 146535808 in words is "one hundred forty-six million, five hundred thirty-five thousand, eight hundred eight".
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