Search a number
-
+
472026114 = 232721731481
BaseRepresentation
bin11100001000101…
…000110000000010
31012220012102002200
4130020220300002
51431314313424
6114501054030
714461104300
oct3410506002
91186172080
10472026114
112224a022a
121120b7316
1376a3c3c1
1446993270
152b68e8c9
hex1c228c02

472026114 has 72 divisors (see below), whose sum is σ = 1259720748. Its totient is φ = 126927360.

The previous prime is 472026091. The next prime is 472026161. The reversal of 472026114 is 411620274.

472026114 is a `hidden beast` number, since 47 + 2 + 0 + 2 + 611 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 465135489 + 6890625 = 21567^2 + 2625^2 .

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, 747 + ... + 30734.

Almost surely, 2472026114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472026114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629860374).

472026114 is an abundant number, since it is smaller than the sum of its proper divisors (787694634).

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

472026114 is a wasteful number, since it uses less digits than its factorization.

472026114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31520 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472026114 is about 21726.1619712272. The cubic root of 472026114 is about 778.6136419082.

Adding to 472026114 its reverse (411620274), we get a palindrome (883646388).

The spelling of 472026114 in words is "four hundred seventy-two million, twenty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 31481 62962 94443 188886 220367 283329 440734 535177 566658 661101 1070354 1322202 1542569 1605531 1983303 3085138 3211062 3746239 3966606 4627707 4816593 7492478 9255414 9633186 11238717 13883121 22477434 26223673 27766242 33716151 52447346 67432302 78671019 157342038 236013057 472026114