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52207272 = 233213172193
BaseRepresentation
bin1100011100100…
…1111010101000
310122020101220200
43013021322220
5101331113042
65102552200
71202516535
oct307117250
9118211820
1052207272
1127519107
1215598660
13aa7bca0
146d0dd8c
1548b3c4c
hex31c9ea8

52207272 has 144 divisors (see below), whose sum is σ = 162593340. Its totient is φ = 15040512.

The previous prime is 52207213. The next prime is 52207273. The reversal of 52207272 is 27270225.

It is a happy number.

52207272 is a `hidden beast` number, since 522 + 0 + 72 + 72 = 666.

52207272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24265476 + 27941796 = 4926^2 + 5286^2 .

It is not an unprimeable number, because it can be changed into a prime (52207273) 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 35 ways as a sum of consecutive naturals, for example, 270408 + ... + 270600.

Almost surely, 252207272 is an apocalyptic number.

52207272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52207272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81296670).

52207272 is an abundant number, since it is smaller than the sum of its proper divisors (110386068).

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

52207272 is a wasteful number, since it uses less digits than its factorization.

52207272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 52207272 is about 7225.4599853573. The cubic root of 52207272 is about 373.7463845319.

Adding to 52207272 its reverse (27270225), we get a palindrome (79477497).

The spelling of 52207272 in words is "fifty-two million, two hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 193 204 221 234 289 306 312 386 408 442 468 578 579 612 663 772 867 884 936 1156 1158 1224 1326 1544 1734 1737 1768 1989 2312 2316 2509 2601 2652 3281 3468 3474 3757 3978 4632 5018 5202 5304 6562 6936 6948 7514 7527 7956 9843 10036 10404 11271 13124 13896 15028 15054 15912 19686 20072 20808 22542 22581 26248 29529 30056 30108 33813 39372 42653 45084 45162 55777 59058 60216 67626 78744 85306 90168 90324 111554 118116 127959 135252 167331 170612 180648 223108 236232 255918 270504 334662 341224 383877 446216 501993 511836 669324 725101 767754 1003986 1023672 1338648 1450202 1535508 2007972 2175303 2900404 3071016 4015944 4350606 5800808 6525909 8701212 13051818 17402424 26103636 52207272