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52040560 = 24511134549
BaseRepresentation
bin1100011010000…
…1001101110000
310121220221020011
43012201031300
5101310244220
65055224304
71201223515
oct306411560
9117827204
1052040560
1127414930
1215518094
13aa21140
146ca930c
15487e65a
hex31a1370

52040560 has 80 divisors (see below), whose sum is σ = 142178400. Its totient is φ = 17464320.

The previous prime is 52040509. The next prime is 52040561. The reversal of 52040560 is 6504025.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×520405602 = 5416439770227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52040561) 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, 9166 + ... + 13714.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 252040560 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 52040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

52040560 is an abundant number, since it is smaller than the sum of its proper divisors (90137840).

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

52040560 is a wasteful number, since it uses less digits than its factorization.

52040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 52040560 is about 7213.9143327323. The cubic root of 52040560 is about 373.3481357510.

Adding to 52040560 its reverse (6504025), we get a palindrome (58544585).

The spelling of 52040560 in words is "fifty-two million, forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 4549 5720 9098 11440 18196 22745 36392 45490 50039 59137 72784 90980 100078 118274 181960 200156 236548 250195 295685 363920 400312 473096 500390 591370 650507 800624 946192 1000780 1182740 1301014 2001560 2365480 2602028 3252535 4003120 4730960 5204056 6505070 10408112 13010140 26020280 52040560