Search a number
-
+
4658745025 = 52112172732
BaseRepresentation
bin1000101011010111…
…01100111011000001
3110000200020202202001
410111223230323001
534020114320100
62050141024001
7223306452004
oct42553547301
913020222661
104658745025
111a80816100
12aa0255001
13593247c7c
14322a2d53b
151c3ee8d6a
hex115aecec1

4658745025 has 81 divisors (see below), whose sum is σ = 6838906683. Its totient is φ = 3145190400.

The previous prime is 4658745019. The next prime is 4658745029. The reversal of 4658745025 is 5205478564.

The square root of 4658745025 is 68255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1331301169 + 3327443856 = 36487^2 + 57684^2 .

It is not a de Polignac number, because 4658745025 - 213 = 4658736833 is a prime.

It is a super-3 number, since 3×46587450253 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4658745029) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 63818389 + ... + 63818461.

Almost surely, 24658745025 is an apocalyptic number.

4658745025 is the 68255-th square number.

4658745025 is the 34128-th centered octagonal number.

It is an amenable number.

4658745025 is a deficient number, since it is larger than the sum of its proper divisors (2180161658).

4658745025 is a wasteful number, since it uses less digits than its factorization.

4658745025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 46.

The cubic root of 4658745025 is about 1670.1532154119.

The spelling of 4658745025 in words is "four billion, six hundred fifty-eight million, seven hundred forty-five thousand, twenty-five".

Divisors: 1 5 11 17 25 55 73 85 121 187 275 289 365 425 605 803 935 1241 1445 1825 2057 3025 3179 4015 4675 5329 6205 7225 8833 10285 13651 15895 20075 21097 26645 31025 34969 44165 51425 58619 68255 79475 90593 105485 133225 150161 174845 220825 232067 293095 341275 452965 527425 644809 750805 874225 996523 1160335 1465475 1540081 2264825 2552737 3224045 3754025 4982615 5801675 7700405 10961753 12763685 16120225 16940891 24913075 38502025 54808765 63818425 84704455 186349801 274043825 423522275 931749005 4658745025