Search a number
-
+
53205144 = 2336173593
BaseRepresentation
bin1100101011110…
…1100010011000
310201010002201220
43022331202120
5102110031034
65140212040
71214144016
oct312754230
9121102656
1053205144
112803a8a3
121599a020
13b03b245
1470cd8b6
154a0e749
hex32bd898

53205144 has 32 divisors (see below), whose sum is σ = 133265520. Its totient is φ = 17701376.

The previous prime is 53205143. The next prime is 53205161. The reversal of 53205144 is 44150235.

53205144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53205143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13012 + ... + 16604.

Almost surely, 253205144 is an apocalyptic number.

It is an amenable number.

53205144 is an abundant number, since it is smaller than the sum of its proper divisors (80060376).

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

53205144 is a wasteful number, since it uses less digits than its factorization.

53205144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 53205144 is about 7294.1856296642. The cubic root of 53205144 is about 376.1125926579.

Adding to 53205144 its reverse (44150235), we get a palindrome (97355379).

The spelling of 53205144 in words is "fifty-three million, two hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 617 1234 1851 2468 3593 3702 4936 7186 7404 10779 14372 14808 21558 28744 43116 86232 2216881 4433762 6650643 8867524 13301286 17735048 26602572 53205144