Search a number
-
+
8525936896 = 282921992
BaseRepresentation
bin1111111000010111…
…10111100100000000
3211000012001110200121
413330023313210000
5114430114440041
63530004230024
7421165160611
oct77413674400
924005043617
108525936896
11368573a644
12179b39b314
13a5b4a9999
145ac491c08
1534d7887d1
hex1fc2f7900

8525936896 has 81 divisors (see below), whose sum is σ = 17714668881. Its totient is φ = 4095286272.

The previous prime is 8525936891. The next prime is 8525936933. The reversal of 8525936896 is 6986395258.

The square root of 8525936896 is 92336.

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

It can be written as a sum of positive squares in only one way, i.e., 4470794496 + 4055142400 = 66864^2 + 63680^2 .

It is a super-2 number, since 2×85259368962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8525936891) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 42843805 + ... + 42844003.

Almost surely, 28525936896 is an apocalyptic number.

8525936896 is the 92336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8525936896

8525936896 is an abundant number, since it is smaller than the sum of its proper divisors (9188731985).

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

8525936896 is an frugal number, since it uses more digits than its factorization.

8525936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 230 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 61.

The cubic root of 8525936896 is about 2042.9012365818.

The spelling of 8525936896 in words is "eight billion, five hundred twenty-five million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 199 232 256 398 464 796 841 928 1592 1682 1856 3184 3364 3712 5771 6368 6728 7424 11542 12736 13456 23084 25472 26912 39601 46168 50944 53824 79202 92336 107648 158404 167359 184672 215296 316808 334718 369344 633616 669436 738688 1148429 1267232 1338872 1477376 2296858 2534464 2677744 4593716 5068928 5355488 9187432 10137856 10710976 18374864 21421952 33304441 36749728 42843904 66608882 73499456 133217764 146998912 266435528 293997824 532871056 1065742112 2131484224 4262968448 8525936896