Search a number
-
+
4064144 = 247131277
BaseRepresentation
bin1111100000001110010000
321122110221212
433200032100
52020023034
6223035252
746354550
oct17401620
97573855
104064144
1123264a7
12143bb28
13ac3b26
1477b160
155542ce
hex3e0390

4064144 has 40 divisors (see below), whose sum is σ = 9100608. Its totient is φ = 1722240.

The previous prime is 4064143. The next prime is 4064149. The reversal of 4064144 is 4414604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14534 + ... + 14810.

Almost surely, 24064144 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 4064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550304).

4064144 is an abundant number, since it is smaller than the sum of its proper divisors (5036464).

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

4064144 is a wasteful number, since it uses less digits than its factorization.

4064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

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

The square root of 4064144 is about 2015.9722220308. The cubic root of 4064144 is about 159.5841283371.

Adding to 4064144 its reverse (4414604), we get a palindrome (8478748).

The spelling of 4064144 in words is "four million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 277 524 554 917 1048 1108 1834 1939 2096 2216 3668 3878 4432 7336 7756 14672 15512 31024 36287 72574 145148 254009 290296 508018 580592 1016036 2032072 4064144