Search a number
-
+
989540064 = 25341971283
BaseRepresentation
bin111010111110110…
…010111011100000
32112221222211210000
4322332302323200
54011310240224
6242105140000
733343644312
oct7276627340
92487884700
10989540064
1146862a107
1223748a600
1312a017186
14955c77b2
155bd170c9
hex3afb2ee0

989540064 has 240 divisors, whose sum is σ = 3117502080. Its totient is φ = 306996480.

The previous prime is 989540047. The next prime is 989540077. The reversal of 989540064 is 460045989.

It is a happy number.

It is a super-2 number, since 2×9895400642 = 1958379076522248192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3496467 + ... + 3496749.

It is an arithmetic number, because the mean of its divisors is an integer number (12989592).

Almost surely, 2989540064 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 989540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558751040).

989540064 is an abundant number, since it is smaller than the sum of its proper divisors (2127962016).

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

989540064 is a wasteful number, since it uses less digits than its factorization.

989540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 989540064 is about 31456.9557331920. The cubic root of 989540064 is about 996.5011268311.

The spelling of 989540064 in words is "nine hundred eighty-nine million, five hundred forty thousand, sixty-four".