Search a number
-
+
8528522500 = 225418472
BaseRepresentation
bin1111111000101011…
…01110110100000100
3211000100220211110201
413330111232310010
5114431300210000
63530135500244
7421226150041
oct77425566404
924010824421
108528522500
113687146203
1217a0227684
13a5bba3824
145ac9661c8
1534dae996a
hex1fc56ed04

8528522500 has 45 divisors (see below), whose sum is σ = 18660276019. Its totient is φ = 3409562000.

The previous prime is 8528522479. The next prime is 8528522537. The reversal of 8528522500 is 52258258.

The square root of 8528522500 is 92350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 668636164 + 7859886336 = 25858^2 + 88656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8528522500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4616577 + ... + 4618423.

Almost surely, 28528522500 is an apocalyptic number.

8528522500 is the 92350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8528522500

8528522500 is an abundant number, since it is smaller than the sum of its proper divisors (10131753519).

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

8528522500 is an frugal number, since it uses more digits than its factorization.

8528522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The cubic root of 8528522500 is about 2043.1077280523.

The spelling of 8528522500 in words is "eight billion, five hundred twenty-eight million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1847 2500 3694 7388 9235 18470 36940 46175 92350 184700 230875 461750 923500 1154375 2308750 3411409 4617500 6822818 13645636 17057045 34114090 68228180 85285225 170570450 341140900 426426125 852852250 1705704500 2132130625 4264261250 8528522500