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428146236 = 22347311607
BaseRepresentation
bin11001100001001…
…111111000111100
31002211122002020000
4121201033320330
51334101134421
6110252354300
713416116520
oct3141177074
91084562200
10428146236
111aa74a671
12bb475990
136a91788b
1440c0dd80
15278c3226
hex1984fe3c

428146236 has 120 divisors (see below), whose sum is σ = 1285380096. Its totient is φ = 121733280.

The previous prime is 428146217. The next prime is 428146253. The reversal of 428146236 is 632641824.

428146236 is a `hidden beast` number, since 4 + 28 + 1 + 4 + 623 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428146236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 705045 + ... + 705651.

Almost surely, 2428146236 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 428146236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642690048).

428146236 is an abundant number, since it is smaller than the sum of its proper divisors (857233860).

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

428146236 is a wasteful number, since it uses less digits than its factorization.

428146236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 930 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 428146236 is about 20691.6948556661. The cubic root of 428146236 is about 753.6980241876.

The spelling of 428146236 in words is "four hundred twenty-eight million, one hundred forty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 311 324 378 567 607 622 756 933 1134 1214 1244 1821 1866 2177 2268 2428 2799 3642 3732 4249 4354 5463 5598 6531 7284 8397 8498 8708 10926 11196 12747 13062 16389 16794 16996 19593 21852 25191 25494 26124 32778 33588 38241 39186 49167 50382 50988 58779 65556 76482 78372 98334 100764 114723 117558 152964 176337 188777 196668 229446 235116 344169 352674 377554 458892 566331 688338 705348 755108 1132662 1321439 1376676 1698993 2265324 2642878 3397986 3964317 5096979 5285756 6795972 7928634 10193958 11892951 15290937 15857268 20387916 23785902 30581874 35678853 47571804 61163748 71357706 107036559 142715412 214073118 428146236