Search a number
-
+
485950752 = 2534726783
BaseRepresentation
bin11100111101110…
…000010100100000
31020212101212010000
4130331300110200
51443400411002
6120115340000
715020341020
oct3475602440
91225355100
10485950752
1122a340aa1
121168b1600
13798a6431
1448779a80
152c9e061c
hex1cf70520

485950752 has 120 divisors (see below), whose sum is σ = 1633395456. Its totient is φ = 138837888.

The previous prime is 485950747. The next prime is 485950757. The reversal of 485950752 is 257059584.

485950752 is a `hidden beast` number, since 4 + 8 + 595 + 0 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (485950747) and next prime (485950757).

It is a super-2 number, since 2×4859507522 = 472296266738731008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 485950698 and 485950707.

It is not an unprimeable number, because it can be changed into a prime (485950757) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4753 + ... + 31535.

Almost surely, 2485950752 is an apocalyptic number.

485950752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816697728).

485950752 is an abundant number, since it is smaller than the sum of its proper divisors (1147444704).

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

485950752 is a wasteful number, since it uses less digits than its factorization.

485950752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26812 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 485950752 is about 22044.2906894280. The cubic root of 485950752 is about 786.1958605195.

It can be divided in two parts, 4859 and 50752, that added together give a triangular number (55611 = T333).

The spelling of 485950752 in words is "four hundred eighty-five million, nine hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 26783 53566 80349 107132 160698 187481 214264 241047 321396 374962 428528 482094 562443 642792 723141 749924 857056 964188 1124886 1285584 1446282 1499848 1687329 1928376 2169423 2249772 2571168 2892564 2999696 3374658 3856752 4338846 4499544 5061987 5785128 5999392 6749316 7713504 8677692 8999088 10123974 11570256 13498632 15185961 17355384 17998176 20247948 23140512 26997264 30371922 34710768 40495896 53994528 60743844 69421536 80991792 121487688 161983584 242975376 485950752