Search a number
-
+
528298992 = 2432132411171
BaseRepresentation
bin11111011111010…
…011001111110000
31100211002100222100
4133133103033300
52040221031432
6124231140400
716043316204
oct3737231760
91324070870
10528298992
11251235941
12128b14700
13855b2a70
1450240b04
15315a807c
hex1f7d33f0

528298992 has 120 divisors (see below), whose sum is σ = 1600206608. Its totient is φ = 161740800.

The previous prime is 528298973. The next prime is 528298997. The reversal of 528298992 is 299892825.

528298992 is a `hidden beast` number, since 528 + 29 + 8 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528298997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450567 + ... + 451737.

Almost surely, 2528298992 is an apocalyptic number.

528298992 is a gapful number since it is divisible by the number (52) 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 528298992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800103304).

528298992 is an abundant number, since it is smaller than the sum of its proper divisors (1071907616).

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

528298992 is a wasteful number, since it uses less digits than its factorization.

528298992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1430 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 528298992 is about 22984.7556436870. The cubic root of 528298992 is about 808.4005382700.

The spelling of 528298992 in words is "five hundred twenty-eight million, two hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 241 312 468 482 624 723 936 964 1171 1446 1872 1928 2169 2342 2892 3133 3513 3856 4338 4684 5784 6266 7026 8676 9368 9399 10539 11568 12532 14052 15223 17352 18736 18798 21078 25064 28104 28197 30446 34704 37596 42156 45669 50128 56208 56394 60892 75192 84312 91338 112788 121784 137007 150384 168624 182676 225576 243568 274014 282211 365352 451152 548028 564422 730704 846633 1096056 1128844 1693266 2192112 2257688 2539899 3386532 3668743 4515376 5079798 6773064 7337486 10159596 11006229 13546128 14674972 20319192 22012458 29349944 33018687 40638384 44024916 58699888 66037374 88049832 132074748 176099664 264149496 528298992