Base | Representation |
---|---|
bin | 10000000100011111000000 |
3 | 21221000200220 |
4 | 100010133000 |
5 | 2034301142 |
6 | 230143040 |
7 | 50543562 |
oct | 20043700 |
9 | 7830626 |
10 | 4212672 |
11 | 2418052 |
12 | 14b1a80 |
13 | b46609 |
14 | 7b9332 |
15 | 5832ec |
hex | 4047c0 |
4212672 has 56 divisors (see below), whose sum is σ = 11466576. Its totient is φ = 1363968.
The previous prime is 4212653. The next prime is 4212679. The reversal of 4212672 is 2762124.
4212672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a d-powerful number, because it can be written as 411 + 23 + 1 + 211 + 65 + 73 + 213 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4212679) 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 7 ways as a sum of consecutive naturals, for example, 6808 + ... + 7400.
Almost surely, 24212672 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 4212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733288).
4212672 is an abundant number, since it is smaller than the sum of its proper divisors (7253904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4212672 is a wasteful number, since it uses less digits than its factorization.
4212672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 645 (or 635 counting only the distinct ones).
The product of its digits is 1344, while the sum is 24.
The square root of 4212672 is about 2052.4794761459. The cubic root of 4212672 is about 161.5049665072.
4212672 divided by its sum of digits (24) gives a triangular number (175528 = T592).
Adding to 4212672 its reverse (2762124), we get a palindrome (6974796).
It can be divided in two parts, 4212 and 672, that added together give a palindrome (4884).
The spelling of 4212672 in words is "four million, two hundred twelve thousand, six hundred seventy-two".
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