Search a number
-
+
4229544 = 2331137433
BaseRepresentation
bin10000001000100110101000
321221212211210
4100020212220
52040321134
6230353120
750644014
oct20104650
97855753
104229544
1124297a0
1214bb7a0
13b511b7
147c1544
155882e9
hex4089a8

4229544 has 64 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1244160.

The previous prime is 4229543. The next prime is 4229573. The reversal of 4229544 is 4459224.

4229544 = T265 + T266 + ... + T352.

4229544 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 46 + 2 + 213 + 94 + 5 + 47 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9552 + ... + 9984.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 24229544 is an apocalyptic number.

4229544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4229544 is an abundant number, since it is smaller than the sum of its proper divisors (7644696).

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

4229544 is a wasteful number, since it uses less digits than its factorization.

4229544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 4229544 is about 2056.5855197390. The cubic root of 4229544 is about 161.7202916070.

The spelling of 4229544 in words is "four million, two hundred twenty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 433 444 814 866 888 1221 1299 1628 1732 2442 2598 3256 3464 4763 4884 5196 9526 9768 10392 14289 16021 19052 28578 32042 38104 48063 57156 64084 96126 114312 128168 176231 192252 352462 384504 528693 704924 1057386 1409848 2114772 4229544