Search a number
-
+
490553856 = 29321319431
BaseRepresentation
bin11101001111010…
…100001000000000
31021012001201101100
4131033110020000
52001040210411
6120402134400
715104432112
oct3517241000
91235051340
10490553856
112319a5411
12118351400
137a828670
14492173b2
152d0ee456
hex1d3d4200

490553856 has 240 divisors, whose sum is σ = 1608647040. Its totient is φ = 142663680.

The previous prime is 490553803. The next prime is 490553857. The reversal of 490553856 is 658355094.

490553856 is a `hidden beast` number, since 4 + 90 + 553 + 8 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (490553857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137961 + ... + 1138391.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2490553856 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 490553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

490553856 is an abundant number, since it is smaller than the sum of its proper divisors (1118093184).

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

490553856 is a wasteful number, since it uses less digits than its factorization.

490553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 490553856 is about 22148.4504198375. The cubic root of 490553856 is about 788.6704421536.

The spelling of 490553856 in words is "four hundred ninety million, five hundred fifty-three thousand, eight hundred fifty-six".