Search a number
-
+
470105055 = 32572715507
BaseRepresentation
bin11100000001010…
…011101111011111
31012202120210220100
4130001103233133
51430321330210
6114351552143
714435553450
oct3401235737
91182523810
10470105055
112213a8982
1211152b653
1376518b94
1446613127
152b4105c0
hex1c053bdf

470105055 has 48 divisors (see below), whose sum is σ = 934861824. Its totient is φ = 214073280.

The previous prime is 470105047. The next prime is 470105117. The reversal of 470105055 is 550501074.

It is not a de Polignac number, because 470105055 - 23 = 470105047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82612 + ... + 88118.

It is an arithmetic number, because the mean of its divisors is an integer number (19476288).

Almost surely, 2470105055 is an apocalyptic number.

470105055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

470105055 is a deficient number, since it is larger than the sum of its proper divisors (464756769).

470105055 is a wasteful number, since it uses less digits than its factorization.

470105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 470105055 is about 21681.9061662023. The cubic root of 470105055 is about 777.5559345346. Note that the first 3 decimals are identical.

The spelling of 470105055 in words is "four hundred seventy million, one hundred five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 271 315 813 1355 1897 2439 4065 5507 5691 9485 12195 16521 17073 27535 28455 38549 49563 82605 85365 115647 192745 247815 346941 578235 1492397 1734705 4477191 7461985 10446779 13431573 22385955 31340337 52233895 67157865 94021011 156701685 470105055