Search a number
-
+
899232768 = 21032753263
BaseRepresentation
bin110101100110010…
…011010000000000
32022200001202110100
4311212103100000
53320200422033
6225121402400
731166231610
oct6546232000
92280052410
10899232768
11421658985
12211199400
131143b83c5
14875daa40
1553e29513
hex35993400

899232768 has 264 divisors, whose sum is σ = 3034931328. Its totient is φ = 251117568.

The previous prime is 899232767. The next prime is 899232847. The reversal of 899232768 is 867232998.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899232767) 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, 3419005 + ... + 3419267.

It is an arithmetic number, because the mean of its divisors is an integer number (11495952).

Almost surely, 2899232768 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 899232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517465664).

899232768 is an abundant number, since it is smaller than the sum of its proper divisors (2135698560).

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

899232768 is a wasteful number, since it uses less digits than its factorization.

899232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 899232768 is about 29987.2100736297. The cubic root of 899232768 is about 965.2149531449.

The spelling of 899232768 in words is "eight hundred ninety-nine million, two hundred thirty-two thousand, seven hundred sixty-eight".