Search a number
-
+
14435628 = 22323193271
BaseRepresentation
bin110111000100…
…010100101100
31000011101221220
4313010110230
512143420003
61233223340
7233462244
oct67042454
930141856
1014435628
11816a779
124a01b50
132cb57bc
141cbab24
151402353
hexdc452c

14435628 has 48 divisors (see below), whose sum is σ = 35460096. Its totient is φ = 4561920.

The previous prime is 14435549. The next prime is 14435657. The reversal of 14435628 is 82653441.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 53133 + ... + 53403.

It is an arithmetic number, because the mean of its divisors is an integer number (738752).

Almost surely, 214435628 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 14435628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730048).

14435628 is an abundant number, since it is smaller than the sum of its proper divisors (21024468).

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

14435628 is a wasteful number, since it uses less digits than its factorization.

14435628 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 23040, while the sum is 33.

The square root of 14435628 is about 3799.4246932924. The cubic root of 14435628 is about 243.4885596594.

The spelling of 14435628 in words is "fourteen million, four hundred thirty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 193 271 276 386 542 579 772 813 1084 1158 1626 2316 3252 4439 6233 8878 12466 13317 17756 18699 24932 26634 37398 52303 53268 74796 104606 156909 209212 313818 627636 1202969 2405938 3608907 4811876 7217814 14435628