Search a number
-
+
52544120 = 23519471471
BaseRepresentation
bin1100100001110…
…0001001111000
310122212111222112
43020130021320
5101422402440
65114111452
71205421566
oct310341170
9118774875
1052544120
11277291a2
121571b588
13ab693c5
146d9aa36
15492d965
hex321c278

52544120 has 64 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 19474560.

The previous prime is 52544081. The next prime is 52544123. The reversal of 52544120 is 2144525.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52544123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34985 + ... + 36455.

It is an arithmetic number, because the mean of its divisors is an integer number (1987200).

Almost surely, 252544120 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 52544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63590400).

52544120 is an abundant number, since it is smaller than the sum of its proper divisors (74636680).

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

52544120 is a wasteful number, since it uses less digits than its factorization.

52544120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 52544120 is about 7248.7323029617. The cubic root of 52544120 is about 374.5484817534.

Adding to 52544120 its reverse (2144525), we get a palindrome (54688645).

It can be divided in two parts, 525441 and 20, that multiplied together give a triangular number (10508820 = T4584).

The spelling of 52544120 in words is "fifty-two million, five hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 152 188 190 235 376 380 470 760 893 940 1471 1786 1880 2942 3572 4465 5884 7144 7355 8930 11768 14710 17860 27949 29420 35720 55898 58840 69137 111796 138274 139745 223592 276548 279490 345685 553096 558980 691370 1117960 1313603 1382740 2627206 2765480 5254412 6568015 10508824 13136030 26272060 52544120