Search a number
-
+
52209696 = 25372111009
BaseRepresentation
bin1100011100101…
…0100000100000
310122020112020110
43013022200200
5101331202241
65103011320
71202526600
oct307124040
9118215213
1052209696
112751aa10
1215599b40
13aa80116
146d10c00
1548b4816
hex31ca820

52209696 has 144 divisors (see below), whose sum is σ = 174091680. Its totient is φ = 13547520.

The previous prime is 52209691. The next prime is 52209709. The reversal of 52209696 is 69690225.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52209691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51240 + ... + 52248.

It is an arithmetic number, because the mean of its divisors is an integer number (1208970).

Almost surely, 252209696 is an apocalyptic number.

52209696 is a gapful number since it is divisible by the number (56) 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 52209696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87045840).

52209696 is an abundant number, since it is smaller than the sum of its proper divisors (121881984).

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

52209696 is a wasteful number, since it uses less digits than its factorization.

52209696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 52209696 is about 7225.6277235961. The cubic root of 52209696 is about 373.7521688297.

The spelling of 52209696 in words is "fifty-two million, two hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1009 1056 1078 1176 1232 1568 1617 1848 2018 2156 2352 2464 3027 3234 3696 4036 4312 4704 6054 6468 7063 7392 8072 8624 11099 12108 12936 14126 16144 17248 21189 22198 24216 25872 28252 32288 33297 42378 44396 48432 49441 51744 56504 66594 77693 84756 88792 96864 98882 113008 133188 148323 155386 169512 177584 197764 226016 233079 266376 296646 310772 339024 355168 395528 466158 532752 543851 593292 621544 678048 791056 932316 1065504 1087702 1186584 1243088 1582112 1631553 1864632 2175404 2373168 2486176 3263106 3729264 4350808 4746336 6526212 7458528 8701616 13052424 17403232 26104848 52209696