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51036000 = 253534253
BaseRepresentation
bin1100001010101…
…1111101100000
310120000220020020
43002223331200
5101031123000
65021513440
71156541001
oct302537540
9116026206
1051036000
1126899114
1215112880
13a75bb22
146ac71a8
154731ba0
hex30abf60

51036000 has 96 divisors (see below), whose sum is σ = 167233248. Its totient is φ = 13606400.

The previous prime is 51035993. The next prime is 51036001. The reversal of 51036000 is 63015.

51036000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51036001) 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 15 ways as a sum of consecutive naturals, for example, 9874 + ... + 14126.

It is an arithmetic number, because the mean of its divisors is an integer number (1742013).

Almost surely, 251036000 is an apocalyptic number.

51036000 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 51036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83616624).

51036000 is an abundant number, since it is smaller than the sum of its proper divisors (116197248).

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

51036000 is a wasteful number, since it uses less digits than its factorization.

51036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51036000 is about 7143.9484880562. The cubic root of 51036000 is about 370.9302135746.

Adding to 51036000 its reverse (63015), we get a palindrome (51099015).

The spelling of 51036000 in words is "fifty-one million, thirty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 4253 6000 8506 12000 12759 17012 21265 25518 34024 42530 51036 63795 68048 85060 102072 106325 127590 136096 170120 204144 212650 255180 318975 340240 408288 425300 510360 531625 637950 680480 850600 1020720 1063250 1275900 1594875 1701200 2041440 2126500 2551800 3189750 3402400 4253000 5103600 6379500 8506000 10207200 12759000 17012000 25518000 51036000