Base | Representation |
---|---|
bin | 11100011001011101101100 |
3 | 112000012201000 |
4 | 130121131230 |
5 | 3401204312 |
6 | 423320300 |
7 | 120163410 |
oct | 34313554 |
9 | 15005630 |
10 | 7444332 |
11 | 4225045 |
12 | 25b0090 |
13 | 170853c |
14 | dbad40 |
15 | 9c0adc |
hex | 71976c |
7444332 has 96 divisors (see below), whose sum is σ = 22668800. Its totient is φ = 2068416.
The previous prime is 7444331. The next prime is 7444343. The reversal of 7444332 is 2334447.
7444332 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 (27).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 7444296 and 7444305.
It is not an unprimeable number, because it can be changed into a prime (7444331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32394 + ... + 32622.
Almost surely, 27444332 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 7444332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11334400).
7444332 is an abundant number, since it is smaller than the sum of its proper divisors (15224468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7444332 is a wasteful number, since it uses less digits than its factorization.
7444332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 284 counting only the distinct ones).
The product of its digits is 8064, while the sum is 27.
The square root of 7444332 is about 2728.4303179667. The cubic root of 7444332 is about 195.2578836557.
Adding to 7444332 its reverse (2334447), we get a palindrome (9778779).
It can be divided in two parts, 7444 and 332, that added together give a 5-th power (7776 = 65).
The spelling of 7444332 in words is "seven million, four hundred forty-four thousand, three hundred thirty-two".
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