[go: up one dir, main page]

Search a number
-
+
4229856 = 253219773
BaseRepresentation
bin10000001000101011100000
321221220021100
4100020223200
52040323411
6230354400
750644641
oct20105340
97856240
104229856
112429a54
1214bba00
13b51397
147c16c8
15588456
hex408ae0

4229856 has 72 divisors (see below), whose sum is σ = 12678120. Its totient is φ = 1334016.

The previous prime is 4229851. The next prime is 4229873. The reversal of 4229856 is 6589224.

It is a happy number.

4229856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 48 + 2 + 27 + 96 + 8 + 59 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 4229856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229851) 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 11 ways as a sum of consecutive naturals, for example, 5086 + ... + 5858.

It is an arithmetic number, because the mean of its divisors is an integer number (176085).

Almost surely, 24229856 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 4229856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339060).

4229856 is an abundant number, since it is smaller than the sum of its proper divisors (8448264).

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

4229856 is a wasteful number, since it uses less digits than its factorization.

4229856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4229856 is about 2056.6613722244. The cubic root of 4229856 is about 161.7242680397.

The spelling of 4229856 in words is "four million, two hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 773 912 1368 1546 1824 2319 2736 3092 4638 5472 6184 6957 9276 12368 13914 14687 18552 24736 27828 29374 37104 44061 55656 58748 74208 88122 111312 117496 132183 176244 222624 234992 264366 352488 469984 528732 704976 1057464 1409952 2114928 4229856