Search a number
-
+
428252180 = 225232413863
BaseRepresentation
bin11001100001101…
…001110000010100
31002211211110112212
4121201221300110
51334113032210
6110254532552
713420040426
oct3141516024
91084743485
10428252180
111aa812224
12bb507158
136a953b75
1440c3a816
15278e4805
hex19869c14

428252180 has 48 divisors (see below), whose sum is σ = 942568704. Its totient is φ = 163130880.

The previous prime is 428252173. The next prime is 428252183. The reversal of 428252180 is 81252824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428252183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108929 + ... + 112791.

It is an arithmetic number, because the mean of its divisors is an integer number (19636848).

Almost surely, 2428252180 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 428252180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471284352).

428252180 is an abundant number, since it is smaller than the sum of its proper divisors (514316524).

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

428252180 is a wasteful number, since it uses less digits than its factorization.

428252180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 428252180 is about 20694.2547582656. The cubic root of 428252180 is about 753.7601861247.

The spelling of 428252180 in words is "four hundred twenty-eight million, two hundred fifty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 241 460 482 964 1205 2410 3863 4820 5543 7726 11086 15452 19315 22172 27715 38630 55430 77260 88849 110860 177698 355396 444245 888490 930983 1776980 1861966 3723932 4654915 9309830 18619660 21412609 42825218 85650436 107063045 214126090 428252180