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52351530 = 235711131173
BaseRepresentation
bin1100011110110…
…1001000101010
310122111201210120
43013231020222
5101400222110
65110024110
71203660240
oct307551052
9118451716
1052351530
1127607530
1215648036
13aacc84a
146d4a790
1548e1870
hex31ed22a

52351530 has 128 divisors (see below), whose sum is σ = 158754816. Its totient is φ = 10732800.

The previous prime is 52351513. The next prime is 52351531. The reversal of 52351530 is 3515325.

52351530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52351530.

It is not an unprimeable number, because it can be changed into a prime (52351531) 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 63 ways as a sum of consecutive naturals, for example, 302524 + ... + 302696.

It is an arithmetic number, because the mean of its divisors is an integer number (1240272).

Almost surely, 252351530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52351530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79377408).

52351530 is an abundant number, since it is smaller than the sum of its proper divisors (106403286).

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

52351530 is a wasteful number, since it uses less digits than its factorization.

52351530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 52351530 is about 7235.4357159745. The cubic root of 52351530 is about 374.0903105804.

Adding to 52351530 its reverse (3515325), we get a palindrome (55866855).

The spelling of 52351530 in words is "fifty-two million, three hundred fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 131 154 165 173 210 231 262 330 346 385 393 462 519 655 770 786 865 917 1038 1155 1211 1310 1441 1730 1834 1903 1965 2310 2422 2595 2751 2882 3633 3806 3930 4323 4585 5190 5502 5709 6055 7205 7266 8646 9170 9515 10087 11418 12110 13321 13755 14410 18165 19030 20174 21615 22663 26642 27510 28545 30261 36330 39963 43230 45326 50435 57090 60522 66605 67989 79926 100870 113315 133210 135978 151305 158641 199815 226630 249293 302610 317282 339945 399630 475923 498586 679890 747879 793205 951846 1246465 1495758 1586410 1745051 2379615 2492930 3490102 3739395 4759230 5235153 7478790 8725255 10470306 17450510 26175765 52351530