Search a number
-
+
53538528 = 253557693
BaseRepresentation
bin1100110000111…
…0111011100000
310201202001001110
43030032323200
5102201213103
65151303320
71220033001
oct314167340
9121661043
1053538528
112824831a
1215b1ab40
13b126c04
1471791a8
154a78403
hex330eee0

53538528 has 24 divisors (see below), whose sum is σ = 140538888. Its totient is φ = 17846144.

The previous prime is 53538479. The next prime is 53538539. The reversal of 53538528 is 82583535.

53538528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278751 + ... + 278942.

It is an arithmetic number, because the mean of its divisors is an integer number (5855787).

Almost surely, 253538528 is an apocalyptic number.

It is an amenable number.

53538528 is an abundant number, since it is smaller than the sum of its proper divisors (87000360).

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

53538528 is a wasteful number, since it uses less digits than its factorization.

53538528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557706 (or 557698 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 53538528 is about 7317.0026650262. The cubic root of 53538528 is about 376.8965327114.

Subtracting from 53538528 its sum of digits (39), we obtain a square (53538489 = 73172).

The spelling of 53538528 in words is "fifty-three million, five hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 557693 1115386 1673079 2230772 3346158 4461544 6692316 8923088 13384632 17846176 26769264 53538528