Base | Representation |
---|---|
bin | 1111101111011… |
… | …10101110000000 |
3 | 100012110211021001 |
4 | 13313232232000 |
5 | 232301043132 |
6 | 21034141344 |
7 | 3162255550 |
oct | 767565600 |
9 | 305424231 |
10 | 132049792 |
11 | 685a1a66 |
12 | 38281854 |
13 | 21485794 |
14 | 13775160 |
15 | b8d5ce7 |
hex | 7deeb80 |
132049792 has 32 divisors (see below), whose sum is σ = 300651120. Its totient is φ = 56592384.
The previous prime is 132049783. The next prime is 132049793. The reversal of 132049792 is 297940231.
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-3 number, since 3×1320497923 (a number of 25 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132049793) 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, 72793 + ... + 74584.
Almost surely, 2132049792 is an apocalyptic number.
It is an amenable number.
132049792 is an abundant number, since it is smaller than the sum of its proper divisors (168601328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132049792 is an equidigital number, since it uses as much as digits as its factorization.
132049792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147398 (or 147386 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 37.
The square root of 132049792 is about 11491.2920074289. The cubic root of 132049792 is about 509.2283499043.
The spelling of 132049792 in words is "one hundred thirty-two million, forty-nine thousand, seven hundred ninety-two".
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