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428142204 = 22327334673
BaseRepresentation
bin11001100001001…
…110111001111100
31002211121212200200
4121201032321330
51334101022304
6110252323500
713416102000
oct3141167174
91084555620
10428142204
111aa747636
12bb473590
136a915aa9
1440c0c700
15278c1e39
hex1984ee7c

428142204 has 72 divisors (see below), whose sum is σ = 1262133600. Its totient is φ = 122322816.

The previous prime is 428142199. The next prime is 428142227. The reversal of 428142204 is 402241824.

428142204 is a `hidden beast` number, since 428 + 14 + 220 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4989 + ... + 29684.

Almost surely, 2428142204 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 428142204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631066800).

428142204 is an abundant number, since it is smaller than the sum of its proper divisors (833991396).

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

428142204 is a wasteful number, since it uses less digits than its factorization.

428142204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34704 (or 34685 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 428142204 is about 20691.5974250419. The cubic root of 428142204 is about 753.6956582359.

The spelling of 428142204 in words is "four hundred twenty-eight million, one hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 34673 69346 104019 138692 208038 242711 312057 416076 485422 624114 728133 970844 1248228 1456266 1698977 2184399 2912532 3397954 4368798 5096931 6795908 8737596 10193862 11892839 15290793 20387724 23785678 30581586 35678517 47571356 61163172 71357034 107035551 142714068 214071102 428142204