Search a number
-
+
985555968 = 21033179131
BaseRepresentation
bin111010101111100…
…110010000000000
32112200111102121220
4322233212100000
54004300242333
6241443515040
733265042005
oct7257462000
92480442556
10985555968
11466358871
12236088a80
13129250917
1494c6b8ac
155b7cb8b3
hex3abe6400

985555968 has 176 divisors, whose sum is σ = 2766888960. Its totient is φ = 311500800.

The previous prime is 985555931. The next prime is 985555969. The reversal of 985555968 is 869555589.

It is not an unprimeable number, because it can be changed into a prime (985555969) 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 15 ways as a sum of consecutive naturals, for example, 7523263 + ... + 7523393.

It is an arithmetic number, because the mean of its divisors is an integer number (15720960).

Almost surely, 2985555968 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 985555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383444480).

985555968 is an abundant number, since it is smaller than the sum of its proper divisors (1781332992).

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

985555968 is a wasteful number, since it uses less digits than its factorization.

985555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 60.

The square root of 985555968 is about 31393.5657101897. The cubic root of 985555968 is about 995.1619537224.

The spelling of 985555968 in words is "nine hundred eighty-five million, five hundred fifty-five thousand, nine hundred sixty-eight".