Base | Representation |
---|---|
bin | 10101101101101010000000 |
3 | 101201012000000 |
4 | 111231222000 |
5 | 2424121112 |
6 | 322000000 |
7 | 66244563 |
oct | 25555200 |
9 | 11635000 |
10 | 5692032 |
11 | 3238565 |
12 | 1aa6000 |
13 | 1243a88 |
14 | a824da |
15 | 7767dc |
hex | 56da80 |
5692032 has 112 divisors (see below), whose sum is σ = 17280330. Its totient is φ = 1866240.
The previous prime is 5692031. The next prime is 5692051. The reversal of 5692032 is 2302965.
It can be written as a sum of positive squares in only one way, i.e., 5645376 + 46656 = 2376^2 + 216^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 6.
It is a junction number, because it is equal to n+sod(n) for n = 5691987 and 5692005.
It is not an unprimeable number, because it can be changed into a prime (5692031) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93282 + ... + 93342.
Almost surely, 25692032 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 5692032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640165).
5692032 is an abundant number, since it is smaller than the sum of its proper divisors (11588298).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5692032 is an frugal number, since it uses more digits than its factorization.
5692032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 5692032 is about 2385.7979797124. The cubic root of 5692032 is about 178.5483238983.
Adding to 5692032 its reverse (2302965), we get a palindrome (7994997).
It can be divided in two parts, 569 and 2032, that added together give a square (2601 = 512).
The spelling of 5692032 in words is "five million, six hundred ninety-two thousand, thirty-two".
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