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52014312 = 2334711467
BaseRepresentation
bin1100011001101…
…0110011101000
310121212121020000
43012122303220
5101303424222
65054503000
71201054140
oct306326350
9117777200
1052014312
11273a7139
1215504a60
13aa121cc
146c9d920
1548769ac
hex319ace8

52014312 has 80 divisors (see below), whose sum is σ = 166515360. Its totient is φ = 14859936.

The previous prime is 52014283. The next prime is 52014317. The reversal of 52014312 is 21341025.

52014312 is a `hidden beast` number, since 520 + 143 + 1 + 2 = 666.

52014312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52014317) 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 19 ways as a sum of consecutive naturals, for example, 1198 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (2081442).

Almost surely, 252014312 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 52014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83257680).

52014312 is an abundant number, since it is smaller than the sum of its proper divisors (114501048).

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

52014312 is a wasteful number, since it uses less digits than its factorization.

52014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52014312 is about 7212.0948413065. The cubic root of 52014312 is about 373.2853559378.

Adding to 52014312 its reverse (21341025), we get a palindrome (73355337).

It can be divided in two parts, 52014 and 312, that added together give a triangular number (52326 = T323).

The spelling of 52014312 in words is "fifty-two million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 11467 22934 34401 45868 68802 80269 91736 103203 137604 160538 206406 240807 275208 309609 321076 412812 481614 619218 642152 722421 825624 928827 963228 1238436 1444842 1857654 1926456 2167263 2476872 2889684 3715308 4334526 5779368 6501789 7430616 8669052 13003578 17338104 26007156 52014312