Base | Representation |
---|---|
bin | 10011000110000000010100 |
3 | 100102022000200 |
4 | 103012000110 |
5 | 2240132312 |
6 | 255140500 |
7 | 60354543 |
oct | 23060024 |
9 | 10368020 |
10 | 5005332 |
11 | 2909642 |
12 | 1814730 |
13 | 1063347 |
14 | 94415a |
15 | 68d0dc |
hex | 4c6014 |
5005332 has 36 divisors (see below), whose sum is σ = 12725076. Its totient is φ = 1658880.
The previous prime is 5005309. The next prime is 5005337. The reversal of 5005332 is 2335005.
It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 1179396 = 1956^2 + 1086^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5005337) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8982 + ... + 9522.
Almost surely, 25005332 is an apocalyptic number.
It is an amenable number.
5005332 is an abundant number, since it is smaller than the sum of its proper divisors (7719744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5005332 is a wasteful number, since it uses less digits than its factorization.
5005332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 808 (or 803 counting only the distinct ones).
The product of its (nonzero) digits is 450, while the sum is 18.
The square root of 5005332 is about 2237.2599312552. The cubic root of 5005332 is about 171.0583570188.
It can be divided in two parts, 500 and 5332, that added together give a cube (5832 = 183).
The spelling of 5005332 in words is "five million, five thousand, three hundred thirty-two".
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