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51045300 = 223252431319
BaseRepresentation
bin1100001010111…
…0001110110100
310120001100222200
43002232032310
5101031422200
65022024500
71156610055
oct302561664
9116040880
1051045300
11268a50a9
1215118130
13a763127
146aca72c
154734800
hex30ae3b4

51045300 has 108 divisors (see below), whose sum is σ = 163843680. Its totient is φ = 13285440.

The previous prime is 51045209. The next prime is 51045301. The reversal of 51045300 is 354015.

51045300 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51045301) 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 35 ways as a sum of consecutive naturals, for example, 38041 + ... + 39359.

Almost surely, 251045300 is an apocalyptic number.

51045300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840).

51045300 is an abundant number, since it is smaller than the sum of its proper divisors (112798380).

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

51045300 is a wasteful number, since it uses less digits than its factorization.

51045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51045300 is about 7144.5993589564. The cubic root of 51045300 is about 370.9527430405.

Adding to 51045300 its reverse (354015), we get a palindrome (51399315).

It can be divided in two parts, 5104 and 5300, that added together give a square (10404 = 1022).

The spelling of 51045300 in words is "fifty-one million, forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1319 1548 1935 2150 2580 2638 3225 3870 3957 4300 5276 6450 6595 7740 7914 9675 11871 12900 13190 15828 19350 19785 23742 26380 32975 38700 39570 47484 56717 59355 65950 79140 98925 113434 118710 131900 170151 197850 226868 237420 283585 296775 340302 395700 510453 567170 593550 680604 850755 1020906 1134340 1187100 1417925 1701510 2041812 2552265 2835850 3403020 4253775 5104530 5671700 8507550 10209060 12761325 17015100 25522650 51045300