Search a number
-
+
485842728 = 233717672539
BaseRepresentation
bin11100111101010…
…101111100101000
31020212012100221010
4130331111330220
51443333431403
6120113143520
715016411050
oct3475257450
91225170833
10485842728
1122a277918
1211685aba0
1379869207
144874c560
152c9bd603
hex1cf55f28

485842728 has 128 divisors (see below), whose sum is σ = 1492300800. Its totient is φ = 128646144.

The previous prime is 485842663. The next prime is 485842729. The reversal of 485842728 is 827248584.

It is not an unprimeable number, because it can be changed into a prime (485842729) 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 31 ways as a sum of consecutive naturals, for example, 190083 + ... + 192621.

It is an arithmetic number, because the mean of its divisors is an integer number (11658600).

Almost surely, 2485842728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485842728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746150400).

485842728 is an abundant number, since it is smaller than the sum of its proper divisors (1006458072).

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

485842728 is a wasteful number, since it uses less digits than its factorization.

485842728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2635 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 485842728 is about 22041.8403950305. The cubic root of 485842728 is about 786.1376006272.

It can be divided in two parts, 4858 and 42728, that added together give a triangular number (47586 = T308).

The spelling of 485842728 in words is "four hundred eighty-five million, eight hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 67 68 84 102 119 134 136 168 201 204 238 268 357 402 408 469 476 536 714 804 938 952 1139 1407 1428 1608 1876 2278 2539 2814 2856 3417 3752 4556 5078 5628 6834 7617 7973 9112 10156 11256 13668 15234 15946 17773 20312 23919 27336 30468 31892 35546 43163 47838 53319 60936 63784 71092 86326 95676 106638 129489 142184 170113 172652 191352 213276 258978 302141 340226 345304 426552 510339 517956 604282 680452 906423 1020678 1035912 1190791 1208564 1360904 1812846 2041356 2381582 2417128 2891921 3572373 3625692 4082712 4763164 5783842 7144746 7251384 8675763 9526328 11567684 14289492 17351526 20243447 23135368 28578984 34703052 40486894 60730341 69406104 80973788 121460682 161947576 242921364 485842728