Base | Representation |
---|---|
bin | 1100101101110… |
… | …0100001000000 |
3 | 10201100112210110 |
4 | 3023130201000 |
5 | 102123111112 |
6 | 5143031320 |
7 | 1215212655 |
oct | 313344100 |
9 | 121315713 |
10 | 53332032 |
11 | 28117166 |
12 | 15a3b540 |
13 | b083c20 |
14 | 7123c2c |
15 | 4a3713c |
hex | 32dc840 |
53332032 has 112 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 15679488.
The previous prime is 53332001. The next prime is 53332033. The reversal of 53332032 is 23023335.
It is not an unprimeable number, because it can be changed into a prime (53332033) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56944 + ... + 57872.
It is an arithmetic number, because the mean of its divisors is an integer number (1417320).
Almost surely, 253332032 is an apocalyptic number.
53332032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 53332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).
53332032 is an abundant number, since it is smaller than the sum of its proper divisors (105407808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53332032 is a wasteful number, since it uses less digits than its factorization.
53332032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 980 (or 970 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 21.
The square root of 53332032 is about 7302.8783366560. The cubic root of 53332032 is about 376.4113500236.
Adding to 53332032 its reverse (23023335), we get a palindrome (76355367).
The spelling of 53332032 in words is "fifty-three million, three hundred thirty-two thousand, thirty-two".
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