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536989984 = 25292772089
BaseRepresentation
bin100000000000011…
…101000100100000
31101102102220202221
4200000131010200
52044432134414
6125141320424
716210224316
oct4000350440
91342386687
10536989984
11256131583
1212ba06114
138733686b
14514640b6
1532223224
hex2001d120

536989984 has 48 divisors (see below), whose sum is σ = 1098127800. Its totient is φ = 258177024.

The previous prime is 536989933. The next prime is 536989987. The reversal of 536989984 is 489989635.

It can be written as a sum of positive squares in 4 ways, for example, as 476461584 + 60528400 = 21828^2 + 7780^2 .

It is not an unprimeable number, because it can be changed into a prime (536989987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256012 + ... + 258100.

Almost surely, 2536989984 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 536989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549063900).

536989984 is an abundant number, since it is smaller than the sum of its proper divisors (561137816).

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

536989984 is a wasteful number, since it uses less digits than its factorization.

536989984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2397 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The square root of 536989984 is about 23173.0443403537. The cubic root of 536989984 is about 812.8094204222.

The spelling of 536989984 in words is "five hundred thirty-six million, nine hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 277 464 554 928 1108 2089 2216 4178 4432 8033 8356 8864 16066 16712 32132 33424 60581 64264 66848 121162 128528 242324 257056 484648 578653 969296 1157306 1938592 2314612 4629224 9258448 16780937 18516896 33561874 67123748 134247496 268494992 536989984