Search a number
-
+
486995985 = 32572989599
BaseRepresentation
bin11101000001101…
…111100000010001
31020221100221220100
4131001233200101
51444132332420
6120154003013
715032253240
oct3501574021
91227327810
10486995985
1122a995323
12117116469
1379b81108
144896c957
152cb4a190
hex1d06f811

486995985 has 96 divisors (see below), whose sum is σ = 1010880000. Its totient is φ = 212179968.

The previous prime is 486995857. The next prime is 486996007. The reversal of 486995985 is 589599684.

It is not a de Polignac number, because 486995985 - 27 = 486995857 is a prime.

It is a super-2 number, since 2×4869959852 = 474330178812240450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812716 + ... + 813314.

It is an arithmetic number, because the mean of its divisors is an integer number (10530000).

Almost surely, 2486995985 is an apocalyptic number.

486995985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

486995985 is an abundant number, since it is smaller than the sum of its proper divisors (523884015).

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

486995985 is a wasteful number, since it uses less digits than its factorization.

486995985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 486995985 is about 22067.9855220181. The cubic root of 486995985 is about 786.7591339127.

The spelling of 486995985 in words is "four hundred eighty-six million, nine hundred ninety-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 89 105 145 203 261 267 315 435 445 599 609 623 801 1015 1305 1335 1797 1827 1869 2581 2995 3045 3115 4005 4193 5391 5607 7743 8985 9135 9345 12579 12905 17371 18067 20965 23229 26955 28035 37737 38715 52113 53311 54201 62895 86855 90335 116145 121597 156339 159933 162603 188685 260565 266555 271005 364791 373177 479799 607985 781695 799665 813015 1094373 1119531 1546019 1823955 1865885 2398995 3358593 4638057 5471865 5597655 7730095 10822133 13914171 16792965 23190285 32466399 54110665 69570855 97399197 162331995 486995985