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51881300 = 2252518813
BaseRepresentation
bin1100010111101…
…0010101010100
310121121211202122
43011322111110
5101240200200
65051555112
71166661302
oct305722524
9117554678
1051881300
1127316209
121545ba98
13a9967c3
146c67272
15484c385
hex317a554

51881300 has 18 divisors (see below), whose sum is σ = 112582638. Its totient is φ = 20752480.

The previous prime is 51881287. The next prime is 51881303. The reversal of 51881300 is 318815.

51881300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2572816 + 49308484 = 1604^2 + 7022^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51881300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51881303) 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 5 ways as a sum of consecutive naturals, for example, 259307 + ... + 259506.

It is an arithmetic number, because the mean of its divisors is an integer number (6254591).

Almost surely, 251881300 is an apocalyptic number.

51881300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51881300 is an abundant number, since it is smaller than the sum of its proper divisors (60701338).

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

51881300 is a wasteful number, since it uses less digits than its factorization.

51881300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518827 (or 518820 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 51881300 is about 7202.8674845509. The cubic root of 51881300 is about 372.9668934911.

It can be divided in two parts, 518 and 81300, that added together give a palindrome (81818).

The spelling of 51881300 in words is "fifty-one million, eight hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 518813 1037626 2075252 2594065 5188130 10376260 12970325 25940650 51881300