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539385984 = 27321921297
BaseRepresentation
bin100000001001100…
…110000010000000
31101120221122110200
4200021212002000
52101040322414
6125304525200
716236463614
oct4011460200
91346848420
10539385984
11257518745
12130780800
1387995307
14518c9344
1532548109
hex20266080

539385984 has 144 divisors (see below), whose sum is σ = 1639393470. Its totient is φ = 170201088.

The previous prime is 539385953. The next prime is 539385997. The reversal of 539385984 is 489583935.

It can be written as a sum of positive squares in only one way, i.e., 284664384 + 254721600 = 16872^2 + 15960^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 539385984.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 415224 + ... + 416520.

Almost surely, 2539385984 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 539385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819696735).

539385984 is an abundant number, since it is smaller than the sum of its proper divisors (1100007486).

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

539385984 is a wasteful number, since it uses less digits than its factorization.

539385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1321 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 539385984 is about 23224.6847987222. The cubic root of 539385984 is about 814.0165205412.

The spelling of 539385984 in words is "five hundred thirty-nine million, three hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 361 384 456 576 608 684 722 912 1083 1152 1216 1297 1368 1444 1824 2166 2432 2594 2736 2888 3249 3648 3891 4332 5188 5472 5776 6498 7296 7782 8664 10376 10944 11552 11673 12996 15564 17328 20752 21888 23104 23346 24643 25992 31128 34656 41504 46208 46692 49286 51984 62256 69312 73929 83008 93384 98572 103968 124512 138624 147858 166016 186768 197144 207936 221787 249024 295716 373536 394288 415872 443574 468217 498048 591432 747072 788576 887148 936434 1182864 1404651 1494144 1577152 1774296 1872868 2365728 2809302 3154304 3548592 3745736 4213953 4731456 5618604 7097184 7491472 8427906 9462912 11237208 14194368 14982944 16855812 22474416 28388736 29965888 33711624 44948832 59931776 67423248 89897664 134846496 179795328 269692992 539385984