Search a number
-
+
486981216 = 25323115437
BaseRepresentation
bin11101000001101…
…011111001100000
31020221100012122100
4131001223321200
51444131344331
6120153410400
715032162211
oct3501537140
91227305570
10486981216
1122a985217
12117109a00
1379b77487
1448967408
152cb45ae6
hex1d06be60

486981216 has 72 divisors (see below), whose sum is σ = 1389561264. Its totient is φ = 161775360.

The previous prime is 486981199. The next prime is 486981223. The reversal of 486981216 is 612189684.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86850 + ... + 92286.

It is an arithmetic number, because the mean of its divisors is an integer number (19299462).

Almost surely, 2486981216 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 486981216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694780632).

486981216 is an abundant number, since it is smaller than the sum of its proper divisors (902580048).

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

486981216 is a wasteful number, since it uses less digits than its factorization.

486981216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5753 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 486981216 is about 22067.6508944654. The cubic root of 486981216 is about 786.7511805527.

The spelling of 486981216 in words is "four hundred eighty-six million, nine hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 622 933 1244 1866 2488 2799 3732 4976 5437 5598 7464 9952 10874 11196 14928 16311 21748 22392 29856 32622 43496 44784 48933 65244 86992 89568 97866 130488 173984 195732 260976 391464 521952 782928 1565856 1690907 3381814 5072721 6763628 10145442 13527256 15218163 20290884 27054512 30436326 40581768 54109024 60872652 81163536 121745304 162327072 243490608 486981216