Search a number
-
+
4284852 = 22311213227
BaseRepresentation
bin10000010110000110110100
322001200201020
4100112012310
52044103402
6231501140
751264165
oct20260664
98050636
104284852
112467300
1215277b0
13b70420
147d776c
155998bc
hex4161b4

4284852 has 72 divisors (see below), whose sum is σ = 11887008. Its totient is φ = 1193280.

The previous prime is 4284827. The next prime is 4284857. The reversal of 4284852 is 2584824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (20480) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18763 + ... + 18989.

Almost surely, 24284852 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 4284852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943504).

4284852 is an abundant number, since it is smaller than the sum of its proper divisors (7602156).

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

4284852 is a wasteful number, since it uses less digits than its factorization.

4284852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 4284852 is about 2069.9884057646. The cubic root of 4284852 is about 162.4221575889.

The spelling of 4284852 in words is "four million, two hundred eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 227 242 286 363 429 454 484 572 681 726 858 908 1362 1452 1573 1716 2497 2724 2951 3146 4719 4994 5902 6292 7491 8853 9438 9988 11804 14982 17706 18876 27467 29964 32461 35412 54934 64922 82401 97383 109868 129844 164802 194766 329604 357071 389532 714142 1071213 1428284 2142426 4284852