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52208310 = 23571197233
BaseRepresentation
bin1100011100101…
…0001010110110
310122020110100010
43013022022312
5101331131220
65103001050
71202522550
oct307121266
9118213303
1052208310
1127519970
1215599186
13aa7c5bb
146d104d0
1548b41e0
hex31ca2b6

52208310 has 128 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 10690560.

The previous prime is 52208297. The next prime is 52208311. The reversal of 52208310 is 1380225.

52208310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×522083102 = 5451415266112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52208311) 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, 223954 + ... + 224186.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 252208310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52208310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

52208310 is an abundant number, since it is smaller than the sum of its proper divisors (106297674).

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

52208310 is a wasteful number, since it uses less digits than its factorization.

52208310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52208310 is about 7225.5318143373. The cubic root of 52208310 is about 373.7488614932.

Adding to 52208310 its reverse (1380225), we get a palindrome (53588535).

It can be divided in two parts, 5220 and 8310, that added together give a triangular number (13530 = T164).

The spelling of 52208310 in words is "fifty-two million, two hundred eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 97 105 110 154 165 194 210 231 233 291 330 385 462 466 485 582 679 699 770 970 1067 1155 1165 1358 1398 1455 1631 2037 2134 2310 2330 2563 2910 3201 3262 3395 3495 4074 4893 5126 5335 6402 6790 6990 7469 7689 8155 9786 10185 10670 12815 14938 15378 16005 16310 17941 20370 22407 22601 24465 25630 32010 35882 37345 38445 44814 45202 48930 53823 67803 74690 76890 89705 107646 112035 113005 135606 158207 179410 224070 226010 248611 269115 316414 339015 474621 497222 538230 678030 745833 791035 949242 1243055 1491666 1582070 1740277 2373105 2486110 3480554 3729165 4746210 5220831 7458330 8701385 10441662 17402770 26104155 52208310