Search a number
-
+
986534964 = 22346194919
BaseRepresentation
bin111010110011010…
…101010000110100
32112202100011120000
4322303111100310
54010023104324
6241520511300
733306260142
oct7263252064
92482304500
10986534964
11466967358
1223647b530
131295043cc
1495044592
155b9219c9
hex3acd5434

986534964 has 60 divisors (see below), whose sum is σ = 2583688800. Its totient is φ = 328246992.

The previous prime is 986534953. The next prime is 986534981. The reversal of 986534964 is 469435689.

986534964 is a `hidden beast` number, since 98 + 65 + 3 + 496 + 4 = 666.

986534964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 986534964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198097 + ... + 203015.

It is an arithmetic number, because the mean of its divisors is an integer number (43061480).

Almost surely, 2986534964 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 986534964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291844400).

986534964 is an abundant number, since it is smaller than the sum of its proper divisors (1597153836).

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

986534964 is a wasteful number, since it uses less digits than its factorization.

986534964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5543 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 986534964 is about 31409.1541433385. The cubic root of 986534964 is about 995.4913573585.

The spelling of 986534964 in words is "nine hundred eighty-six million, five hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 619 1238 1857 2476 3714 4919 5571 7428 9838 11142 14757 16713 19676 22284 29514 33426 44271 50139 59028 66852 88542 100278 132813 177084 200556 265626 398439 531252 796878 1593756 3044861 6089722 9134583 12179444 18269166 27403749 36538332 54807498 82211247 109614996 164422494 246633741 328844988 493267482 986534964