Search a number
-
+
4238064 = 2432191549
BaseRepresentation
bin10000001010101011110000
321222022112100
4100022223300
52041104224
6230500400
751010605
oct20125360
97868470
104238064
112435136
121504700
13b5503c
147c46ac
1558aac9
hex40aaf0

4238064 has 60 divisors (see below), whose sum is σ = 12493000. Its totient is φ = 1337472.

The previous prime is 4238057. The next prime is 4238071. The reversal of 4238064 is 4608324.

It is an interprime number because it is at equal distance from previous prime (4238057) and next prime (4238071).

It is a super-2 number, since 2×42380642 = 35922372936192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1962 + ... + 3510.

Almost surely, 24238064 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 4238064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246500).

4238064 is an abundant number, since it is smaller than the sum of its proper divisors (8254936).

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

4238064 is a wasteful number, since it uses less digits than its factorization.

4238064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4238064 is about 2058.6558721651. The cubic root of 4238064 is about 161.8288086428.

The spelling of 4238064 in words is "four million, two hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1549 2736 3098 4647 6196 9294 12392 13941 18588 24784 27882 29431 37176 55764 58862 74352 88293 111528 117724 176586 223056 235448 264879 353172 470896 529758 706344 1059516 1412688 2119032 4238064