Search a number
-
+
486112984 = 237311072617
BaseRepresentation
bin11100111110010…
…111111011011000
31020212201002122121
4130332113323120
51443421103414
6120123031024
715021615010
oct3476277330
91225632577
10486112984
1122a441975
1211696b474
1379932226
14487bcc40
152ca23724
hex1cf97ed8

486112984 has 64 divisors (see below), whose sum is σ = 1085736960. Its totient is φ = 199653120.

The previous prime is 486112961. The next prime is 486113003. The reversal of 486112984 is 489211684.

It is a self number, because there is not a number n which added to its sum of digits gives 486112984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184444 + ... + 187060.

It is an arithmetic number, because the mean of its divisors is an integer number (16964640).

Almost surely, 2486112984 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 486112984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

486112984 is an abundant number, since it is smaller than the sum of its proper divisors (599623976).

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

486112984 is a wasteful number, since it uses less digits than its factorization.

486112984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2764 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 486112984 is about 22047.9700652917. The cubic root of 486112984 is about 786.2833398476.

The spelling of 486112984 in words is "four hundred eighty-six million, one hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 107 124 214 217 248 428 434 749 856 868 1498 1736 2617 2996 3317 5234 5992 6634 10468 13268 18319 20936 23219 26536 36638 46438 73276 81127 92876 146552 162254 185752 280019 324508 560038 567889 649016 1120076 1135778 1960133 2240152 2271556 3920266 4543112 7840532 8680589 15681064 17361178 34722356 60764123 69444712 121528246 243056492 486112984