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4814106 = 2311219349
BaseRepresentation
bin10010010111010100011010
3100001120201020
4102113110122
52213022411
6251103310
755630203
oct22272432
910046636
104814106
112798a00
121741b36
13cc72ab
148d45aa
15651606
hex49751a

4814106 has 48 divisors (see below), whose sum is σ = 11172000. Its totient is φ = 1378080.

The previous prime is 4814093. The next prime is 4814123. The reversal of 4814106 is 6014184.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13620 + ... + 13968.

It is an arithmetic number, because the mean of its divisors is an integer number (232750).

Almost surely, 24814106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4814106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586000).

4814106 is an abundant number, since it is smaller than the sum of its proper divisors (6357894).

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

4814106 is a wasteful number, since it uses less digits than its factorization.

4814106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4814106 is about 2194.1071076864. The cubic root of 4814106 is about 168.8516139716.

The spelling of 4814106 in words is "four million, eight hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 349 363 418 627 698 726 1047 1254 2094 2299 3839 4598 6631 6897 7678 11517 13262 13794 19893 23034 39786 42229 72941 84458 126687 145882 218823 253374 437646 802351 1604702 2407053 4814106