Search a number
-
+
528995000 = 2354241439
BaseRepresentation
bin11111100001111…
…101001010111000
31100212101201201102
4133201331022320
52040410320000
6124254110532
716052245322
oct3741751270
91325351642
10528995000
11251670856
121291ab448
13857977c1
1450382612
15316943d5
hex1f87d2b8

528995000 has 80 divisors (see below), whose sum is σ = 1247413200. Its totient is φ = 210240000.

The previous prime is 528994993. The next prime is 528995023. The reversal of 528995000 is 599825.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1204781 + ... + 1205219.

It is an arithmetic number, because the mean of its divisors is an integer number (15592665).

Almost surely, 2528995000 is an apocalyptic number.

528995000 is a gapful number since it is divisible by the number (50) 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 528995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623706600).

528995000 is an abundant number, since it is smaller than the sum of its proper divisors (718418200).

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

528995000 is a wasteful number, since it uses less digits than its factorization.

528995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 528995000 is about 22999.8913040910. The cubic root of 528995000 is about 808.7553918293.

The spelling of 528995000 in words is "five hundred twenty-eight million, nine hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 439 482 500 625 878 964 1000 1205 1250 1756 1928 2195 2410 2500 3512 4390 4820 5000 6025 8780 9640 10975 12050 17560 21950 24100 30125 43900 48200 54875 60250 87800 105799 109750 120500 150625 211598 219500 241000 274375 301250 423196 439000 528995 548750 602500 846392 1057990 1097500 1205000 2115980 2195000 2644975 4231960 5289950 10579900 13224875 21159800 26449750 52899500 66124375 105799000 132248750 264497500 528995000