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4830224 = 247261101
BaseRepresentation
bin10010011011010000010000
3100002101211012
4102123100100
52214031344
6251310052
756025200
oct22332020
910071735
104830224
1127aa023
12174b328
131001729
148da400
1565629e
hex49b410

4830224 has 60 divisors (see below), whose sum is σ = 11174508. Its totient is φ = 2016000.

The previous prime is 4830223. The next prime is 4830229. The reversal of 4830224 is 4220384.

It can be written as a sum of positive squares in 2 ways, for example, as 2371600 + 2458624 = 1540^2 + 1568^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4830224.

It is not an unprimeable number, because it can be changed into a prime (4830223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47774 + ... + 47874.

Almost surely, 24830224 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 4830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587254).

4830224 is an abundant number, since it is smaller than the sum of its proper divisors (6344284).

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

4830224 is a wasteful number, since it uses less digits than its factorization.

4830224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4830224 is about 2197.7770587573. Note that the first 3 decimals coincide. The cubic root of 4830224 is about 169.0398468184.

The spelling of 4830224 in words is "four million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 101 112 122 196 202 244 392 404 427 488 707 784 808 854 976 1414 1616 1708 2828 2989 3416 4949 5656 5978 6161 6832 9898 11312 11956 12322 19796 23912 24644 39592 43127 47824 49288 79184 86254 98576 172508 301889 345016 603778 690032 1207556 2415112 4830224