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52211306040 = 23358343911941
BaseRepresentation
bin110000101000000010…
…010100111000111000
311222202200210011020120
4300220002110320320
51323412043243130
635552513253240
73525562531065
oct605002247070
9158680704216
1052211306040
1120162a15003
12a151564220
134c00c2c53a
1427542b1c6c
151558a96910
hexc28094e38

52211306040 has 128 divisors (see below), whose sum is σ = 158895475200. Its totient is φ = 13722785280.

The previous prime is 52211306029. The next prime is 52211306041. The reversal of 52211306040 is 4060311225.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52211306040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52211306041) 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 31 ways as a sum of consecutive naturals, for example, 4366470 + ... + 4378410.

It is an arithmetic number, because the mean of its divisors is an integer number (1241370900).

Almost surely, 252211306040 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 52211306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79447737600).

52211306040 is an abundant number, since it is smaller than the sum of its proper divisors (106684169160).

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

52211306040 is a wasteful number, since it uses less digits than its factorization.

52211306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 52211306040 its reverse (4060311225), we get a palindrome (56271617265).

The spelling of 52211306040 in words is "fifty-two billion, two hundred eleven million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 439 498 664 830 878 996 1245 1317 1660 1756 1992 2195 2490 2634 3320 3512 4390 4980 5268 6585 8780 9960 10536 11941 13170 17560 23882 26340 35823 36437 47764 52680 59705 71646 72874 95528 109311 119410 143292 145748 179115 182185 218622 238820 286584 291496 358230 364370 437244 477640 546555 716460 728740 874488 991103 1093110 1432920 1457480 1982206 2186220 2973309 3964412 4372440 4955515 5242099 5946618 7928824 9911030 10484198 11893236 14866545 15726297 19822060 20968396 23786472 26210495 29733090 31452594 39644120 41936792 52420990 59466180 62905188 78631485 104841980 118932360 125810376 157262970 209683960 314525940 435094217 629051880 870188434 1305282651 1740376868 2175471085 2610565302 3480753736 4350942170 5221130604 6526413255 8701884340 10442261208 13052826510 17403768680 26105653020 52211306040