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4822416 = 2434612
BaseRepresentation
bin10010011001010110010000
3100002000010000
4102121112100
52213304131
6251210000
755663344
oct22312620
910060100
104822416
1127a4175
121746900
13ccb001
148d7624
15653ce6
hex499590

4822416 has 75 divisors (see below), whose sum is σ = 14190033. Its totient is φ = 1581120.

The previous prime is 4822393. The next prime is 4822421. The reversal of 4822416 is 6142284.

The square root of 4822416 is 2196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 4665600 = 396^2 + 2160^2 .

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 zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 4822416.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 79026 + ... + 79086.

Almost surely, 24822416 is an apocalyptic number.

4822416 is the 2196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4822416

4822416 is an abundant number, since it is smaller than the sum of its proper divisors (9367617).

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

4822416 is an equidigital number, since it uses as much as digits as its factorization.

4822416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 66 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The cubic root of 4822416 is about 168.9487140576.

The spelling of 4822416 in words is "four million, eight hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 3721 4392 4941 6588 7442 8784 9882 11163 13176 14884 19764 22326 26352 29768 33489 39528 44652 59536 66978 79056 89304 100467 133956 178608 200934 267912 301401 401868 535824 602802 803736 1205604 1607472 2411208 4822416