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252312112 = 24132115749
BaseRepresentation
bin11110000100111…
…11101000110000
3122120202210011001
433002133220300
51004042441422
641011531344
76152421553
oct1702375060
9576683131
10252312112
1111a472908
12705b9b54
1340371c10
142571c69a
151723e227
hexf09fa30

252312112 has 40 divisors (see below), whose sum is σ = 529046000. Its totient is φ = 115879680.

The previous prime is 252312107. The next prime is 252312149. The reversal of 252312112 is 211213252.

252312112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2523121122 = 127322803723801088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252312112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41014 + ... + 46762.

It is an arithmetic number, because the mean of its divisors is an integer number (13226150).

Almost surely, 2252312112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264523000).

252312112 is an abundant number, since it is smaller than the sum of its proper divisors (276733888).

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

252312112 is a wasteful number, since it uses less digits than its factorization.

252312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5975 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 252312112 is about 15884.3354283395. The cubic root of 252312112 is about 631.8966209159.

Adding to 252312112 its reverse (211213252), we get a palindrome (463525364).

The spelling of 252312112 in words is "two hundred fifty-two million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 422 844 1688 2743 3376 5486 5749 10972 11498 21944 22996 43888 45992 74737 91984 149474 298948 597896 1195792 1213039 2426078 4852156 9704312 15769507 19408624 31539014 63078028 126156056 252312112