Search a number
-
+
4814124 = 2237223257
BaseRepresentation
bin10010010111010100101100
3100001120201220
4102113110230
52213022444
6251103340
755630230
oct22272454
910046656
104814124
112798a17
121741b50
13cc72c3
148d45c0
15651619
hex49752c

4814124 has 48 divisors (see below), whose sum is σ = 12945408. Its totient is φ = 1363968.

The previous prime is 4814123. The next prime is 4814129. The reversal of 4814124 is 4214184.

It is a junction number, because it is equal to n+sod(n) for n = 4814094 and 4814103.

It is not an unprimeable number, because it can be changed into a prime (4814123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18604 + ... + 18860.

It is an arithmetic number, because the mean of its divisors is an integer number (269696).

Almost surely, 24814124 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 4814124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472704).

4814124 is an abundant number, since it is smaller than the sum of its proper divisors (8131284).

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

4814124 is a wasteful number, since it uses less digits than its factorization.

4814124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4814124 is about 2194.1112095789. Note that the first 3 decimals coincide. The cubic root of 4814124 is about 168.8518244174.

The spelling of 4814124 in words is "four million, eight hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 257 446 514 669 771 892 1028 1338 1542 1561 1799 2676 3084 3122 3598 4683 5397 6244 7196 9366 10794 18732 21588 57311 114622 171933 229244 343866 401177 687732 802354 1203531 1604708 2407062 4814124