Search a number
-
+
53522432 = 21273179
BaseRepresentation
bin1100110000101…
…1000000000000
310201201012222022
43030023000000
5102200204212
65151101012
71216635035
oct314130000
9121635868
1053522432
1128237217
1215b11768
13b11c7a2
14717338c
154a73772
hex330b000

53522432 has 52 divisors (see below), whose sum is σ = 109104120. Its totient is φ = 26247168.

The previous prime is 53522419. The next prime is 53522459. The reversal of 53522432 is 23422535.

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 3 ways as a sum of consecutive naturals, for example, 298919 + ... + 299097.

Almost surely, 253522432 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 53522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552060).

53522432 is an abundant number, since it is smaller than the sum of its proper divisors (55581688).

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

53522432 is an equidigital number, since it uses as much as digits as its factorization.

53522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its digits is 7200, while the sum is 26.

The square root of 53522432 is about 7315.9026784123. The cubic root of 53522432 is about 376.8587584525.

Adding to 53522432 its reverse (23422535), we get a palindrome (76944967).

The spelling of 53522432 in words is "fifty-three million, five hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 179 256 292 358 512 584 716 1024 1168 1432 2048 2336 2864 4096 4672 5728 9344 11456 13067 18688 22912 26134 37376 45824 52268 74752 91648 104536 149504 183296 209072 299008 366592 418144 733184 836288 1672576 3345152 6690304 13380608 26761216 53522432