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463242420 = 223251927129
BaseRepresentation
bin11011100111001…
…000010010110100
31012021200011010200
4123213020102310
51422042224140
6113544520500
714323331664
oct3347102264
91167604120
10463242420
11218540983
1210b180130
1374c85354
14457481a4
152aa07030
hex1b9c84b4

463242420 has 108 divisors (see below), whose sum is σ = 1483225380. Its totient is φ = 117013248.

The previous prime is 463242343. The next prime is 463242443. The reversal of 463242420 is 24242364.

463242420 is a `hidden beast` number, since 4 + 632 + 4 + 2 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229886244 + 233356176 = 15162^2 + 15276^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61416 + ... + 68544.

Almost surely, 2463242420 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 463242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741612690).

463242420 is an abundant number, since it is smaller than the sum of its proper divisors (1019982960).

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

463242420 is a wasteful number, since it uses less digits than its factorization.

463242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 463242420 is about 21523.0671606070. The cubic root of 463242420 is about 773.7537625863.

Adding to 463242420 its reverse (24242364), we get a palindrome (487484784).

The spelling of 463242420 in words is "four hundred sixty-three million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 2166 3249 3420 3610 4332 5415 6498 7129 7220 10830 12996 14258 16245 21387 21660 28516 32490 35645 42774 64161 64980 71290 85548 106935 128322 135451 142580 213870 256644 270902 320805 406353 427740 541804 641610 677255 812706 1219059 1283220 1354510 1625412 2031765 2438118 2573569 2709020 4063530 4876236 5147138 6095295 7720707 8127060 10294276 12190590 12867845 15441414 23162121 24381180 25735690 30882828 38603535 46324242 51471380 77207070 92648484 115810605 154414140 231621210 463242420