Search a number
-
+
428758372242 = 23219281232
BaseRepresentation
bin1100011110100111111…
…11011000111110010010
31111222200220112001021200
412033103333120332102
524011044120402432
6524545135532030
742656014013604
oct6172377307622
91458626461250
10428758372242
11155920a18092
126b11a38a016
133157c6c5555
1416a75763174
15b246512a7c
hex63d3fd8f92

428758372242 has 54 divisors (see below), whose sum is σ = 980564028327. Its totient is φ = 135380712312.

The previous prime is 428758372219. The next prime is 428758372271. The reversal of 428758372242 is 242273857824.

428758372242 is a `hidden beast` number, since 4 + 28 + 7 + 5 + 8 + 372 + 242 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214379186121 + 214379186121 = 463011^2 + 463011^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=463011.

It is a super-2 number, since 2×4287583722422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52779193 + ... + 52787315.

Almost surely, 2428758372242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428758372242

428758372242 is an abundant number, since it is smaller than the sum of its proper divisors (551805656085).

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

428758372242 is an frugal number, since it uses more digits than its factorization.

428758372242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 8147 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 428758372242 in words is "four hundred twenty-eight billion, seven hundred fifty-eight million, three hundred seventy-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 8123 16246 24369 48738 73107 146214 154337 308674 463011 926022 1389033 2778066 2932403 5864806 8797209 17594418 26391627 52783254 65983129 131966258 197949387 395898774 593848161 1187696322 1253679451 2507358902 3761038353 7522076706 11283115059 22566230118 23819909569 47639819138 71459728707 142919457414 214379186121 428758372242