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252423216 = 2434194771
BaseRepresentation
bin11110000101110…
…10110000110000
3122120222102120000
433002322300300
51004110020331
641014150000
76153363513
oct1702726060
9576872500
10252423216
1111a539331
1270652300
13403b0666
142574ad7a
15172620e6
hexf0bac30

252423216 has 50 divisors (see below), whose sum is σ = 730589772. Its totient is φ = 84140640.

The previous prime is 252423211. The next prime is 252423217. The reversal of 252423216 is 612324252.

It is a happy number.

252423216 is a `hidden beast` number, since 25 + 2 + 423 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 252423216.

It is not an unprimeable number, because it can be changed into a prime (252423211) 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 9 ways as a sum of consecutive naturals, for example, 96090 + ... + 98681.

Almost surely, 2252423216 is an apocalyptic number.

It is an amenable number.

252423216 is an abundant number, since it is smaller than the sum of its proper divisors (478166556).

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

252423216 is a wasteful number, since it uses less digits than its factorization.

252423216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194791 (or 194776 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 252423216 is about 15887.8323253992. The cubic root of 252423216 is about 631.9893578297.

Adding to 252423216 its reverse (612324252), we get a palindrome (864747468).

The spelling of 252423216 in words is "two hundred fifty-two million, four hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 194771 389542 584313 779084 1168626 1558168 1752939 2337252 3116336 3505878 4674504 5258817 7011756 9349008 10517634 14023512 15776451 21035268 28047024 31552902 42070536 63105804 84141072 126211608 252423216