Base | Representation |
---|---|
bin | 1011111000011… |
… | …1000000000000 |
3 | 10110202221011222 |
4 | 2332013000000 |
5 | 100224223112 |
6 | 4540054212 |
7 | 1143412361 |
oct | 276070000 |
9 | 113687158 |
10 | 49836032 |
11 | 26149604 |
12 | 14834368 |
13 | a42b89c |
14 | 6893b68 |
15 | 4596372 |
hex | 2f87000 |
49836032 has 52 divisors (see below), whose sum is σ = 104189520. Its totient is φ = 23834624.
The previous prime is 49836023. The next prime is 49836043. The reversal of 49836032 is 23063894.
It is a happy number.
The cubic root of 49836032 is 368.
It is a perfect power (a cube), and thus also a powerful number.
It is a super-3 number, since 3×498360323 (a number of 24 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 49835983 and 49836001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2166773 + ... + 2166795.
Almost surely, 249836032 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 49836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52094760).
49836032 is an abundant number, since it is smaller than the sum of its proper divisors (54353488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49836032 is an frugal number, since it uses more digits than its factorization.
49836032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 25 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 35.
The square root of 49836032 is about 7059.4640023163.
The spelling of 49836032 in words is "forty-nine million, eight hundred thirty-six thousand, thirty-two".
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