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4822368 = 253191263
BaseRepresentation
bin10010011001010101100000
3100002000001020
4102121111200
52213303433
6251205440
755663245
oct22312540
910060036
104822368
1127a4131
121746880
13ccac95
148d75cc
15653cb3
hex499560

4822368 has 48 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 1592960.

The previous prime is 4822361. The next prime is 4822369. The reversal of 4822368 is 8632284.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4822361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18205 + ... + 18467.

It is an arithmetic number, because the mean of its divisors is an integer number (266112).

Almost surely, 24822368 is an apocalyptic number.

4822368 is a gapful number since it is divisible by the number (48) 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 4822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688).

4822368 is an abundant number, since it is smaller than the sum of its proper divisors (7951008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4822368 is a wasteful number, since it uses less digits than its factorization.

4822368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4822368 is about 2195.9890710111. The cubic root of 4822368 is about 168.9481535111.

It can be divided in two parts, 482 and 2368, that added together give a triangular number (2850 = T75).

The spelling of 4822368 in words is "four million, eight hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 263 382 526 573 764 789 1052 1146 1528 1578 2104 2292 3056 3156 4208 4584 6112 6312 8416 9168 12624 18336 25248 50233 100466 150699 200932 301398 401864 602796 803728 1205592 1607456 2411184 4822368