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52800012 = 223619953
BaseRepresentation
bin1100100101101…
…0101000001100
310200100112000000
43021122220030
5102004100022
65123404300
71210535616
oct311325014
9120315000
1052800012
1127893481
1215823690
13ac28a15
147025db6
15497e6ac
hex325aa0c

52800012 has 84 divisors (see below), whose sum is σ = 145981080. Its totient is φ = 16656192.

The previous prime is 52799987. The next prime is 52800017. The reversal of 52800012 is 21000825.

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 (52800017) 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 27 ways as a sum of consecutive naturals, for example, 54928 + ... + 55880.

It is an arithmetic number, because the mean of its divisors is an integer number (1737870).

Almost surely, 252800012 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 52800012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990540).

52800012 is an abundant number, since it is smaller than the sum of its proper divisors (93181068).

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

52800012 is a wasteful number, since it uses less digits than its factorization.

52800012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52800012 is about 7266.3616755568. The cubic root of 52800012 is about 375.1555194942.

Adding to 52800012 its reverse (21000825), we get a palindrome (73800837).

The spelling of 52800012 in words is "fifty-two million, eight hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 953 972 1026 1458 1539 1906 2052 2859 2916 3078 3812 4617 5718 6156 8577 9234 11436 13851 17154 18107 18468 25731 27702 34308 36214 51462 54321 55404 72428 77193 102924 108642 154386 162963 217284 231579 308772 325926 463158 488889 651852 694737 926316 977778 1389474 1466667 1955556 2778948 2933334 4400001 5866668 8800002 13200003 17600004 26400006 52800012