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252039216 = 243111373503
BaseRepresentation
bin11110000010111…
…01000000110000
3122120020220210210
433001131000300
51004010223331
641002024120
76150204132
oct1701350060
9576226723
10252039216
1111a2a6880
12704a8040
13402a7940
142568b052
15171d8446
hexf05d030

252039216 has 160 divisors (see below), whose sum is σ = 776950272. Its totient is φ = 69396480.

The previous prime is 252039197. The next prime is 252039217. The reversal of 252039216 is 612930252.

It is not an unprimeable number, because it can be changed into a prime (252039217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500821 + ... + 501323.

Almost surely, 2252039216 is an apocalyptic number.

252039216 is a gapful number since it is divisible by the number (26) 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 252039216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388475136).

252039216 is an abundant number, since it is smaller than the sum of its proper divisors (524911056).

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

252039216 is a wasteful number, since it uses less digits than its factorization.

252039216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 252039216 is about 15875.7430062344. The cubic root of 252039216 is about 631.6687229283.

Adding to 252039216 its reverse (612930252), we get a palindrome (864969468).

The spelling of 252039216 in words is "two hundred fifty-two million, thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 73 78 88 104 132 143 146 156 176 208 219 264 286 292 312 429 438 503 528 572 584 624 803 858 876 949 1006 1144 1168 1509 1606 1716 1752 1898 2012 2288 2409 2847 3018 3212 3432 3504 3796 4024 4818 5533 5694 6036 6424 6539 6864 7592 8048 9636 10439 11066 11388 12072 12848 13078 15184 16599 19272 19617 20878 22132 22776 24144 26156 31317 33198 36719 38544 39234 41756 44264 45552 52312 62634 66396 71929 73438 78468 83512 88528 104624 110157 125268 132792 143858 146876 156936 167024 215787 220314 250536 265584 287716 293752 313872 403909 431574 440628 477347 501072 575432 587504 807818 863148 881256 954694 1150864 1211727 1432041 1615636 1726296 1762512 1909388 2423454 2864082 3231272 3452592 3818776 4846908 5250817 5728164 6462544 7637552 9693816 10501634 11456328 15752451 19387632 21003268 22912656 31504902 42006536 63009804 84013072 126019608 252039216