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428504100 = 223528317209
BaseRepresentation
bin11001100010100…
…111010000100100
31002212022021010020
4121202213100210
51334144112400
6110304155140
713422140043
oct3142472044
91085267106
10428504100
111aa974522
12bb608ab0
136aa1172b
1440ca455a
15279442a0
hex198a7424

428504100 has 72 divisors (see below), whose sum is σ = 1254815520. Its totient is φ = 112884480.

The previous prime is 428504081. The next prime is 428504101. The reversal of 428504100 is 1405824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428504101) 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, 16296 + ... + 33504.

Almost surely, 2428504100 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 428504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627407760).

428504100 is an abundant number, since it is smaller than the sum of its proper divisors (826311420).

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

428504100 is a wasteful number, since it uses less digits than its factorization.

428504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17309 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 428504100 is about 20700.3405769084. The cubic root of 428504100 is about 753.9079573471.

Adding to 428504100 its reverse (1405824), we get a palindrome (429909924).

The spelling of 428504100 in words is "four hundred twenty-eight million, five hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 17209 24900 34418 51627 68836 86045 103254 172090 206508 258135 344180 430225 516270 860450 1032540 1290675 1428347 1720900 2581350 2856694 4285041 5162700 5713388 7141735 8570082 14283470 17140164 21425205 28566940 35708675 42850410 71417350 85700820 107126025 142834700 214252050 428504100