Search a number
-
+
989206656 = 27310132543
BaseRepresentation
bin111010111101100…
…001100010000000
32112221100220102120
4322331201202000
54011214103111
6242054044240
733341055264
oct7275414200
92487326376
10989206656
11468421669
12237349680
13129c2b4a9
149553c0a4
155bc9d406
hex3af61880

989206656 has 64 divisors (see below), whose sum is σ = 2631208320. Its totient is φ = 329280512.

The previous prime is 989206651. The next prime is 989206663. The reversal of 989206656 is 656602989.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 989206599 and 989206608.

It is not an unprimeable number, because it can be changed into a prime (989206651) 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 7 ways as a sum of consecutive naturals, for example, 387721 + ... + 390263.

It is an arithmetic number, because the mean of its divisors is an integer number (41112630).

Almost surely, 2989206656 is an apocalyptic number.

989206656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315604160).

989206656 is an abundant number, since it is smaller than the sum of its proper divisors (1642001664).

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

989206656 is a wasteful number, since it uses less digits than its factorization.

989206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 989206656 is about 31451.6558546605. The cubic root of 989206656 is about 996.3891964569.

The spelling of 989206656 in words is "nine hundred eighty-nine million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1013 2026 2543 3039 4052 5086 6078 7629 8104 10172 12156 15258 16208 20344 24312 30516 32416 40688 48624 61032 64832 81376 97248 122064 129664 162752 194496 244128 325504 388992 488256 976512 2576059 5152118 7728177 10304236 15456354 20608472 30912708 41216944 61825416 82433888 123650832 164867776 247301664 329735552 494603328 989206656