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51000 = 2335317
BaseRepresentation
bin1100011100111000
32120221220
430130320
53113000
61032040
7301455
oct143470
976856
1051000
1135354
1225620
131a2a1
141482c
15101a0
hexc738

51000 has 64 divisors (see below), whose sum is σ = 168480. Its totient is φ = 12800.

The previous prime is 50993. The next prime is 51001. The reversal of 51000 is 15.

Adding to 51000 its reverse (15), we get a palindrome (51015).

51000 is nontrivially palindromic in base 13.

51000 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 51000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2992 + ... + 3008.

251000 is an apocalyptic number.

51000 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 51000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

51000 is an abundant number, since it is smaller than the sum of its proper divisors (117480).

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

51000 is a wasteful number, since it uses less digits than its factorization.

51000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 51000 is about 225.8317958127. The cubic root of 51000 is about 37.0842976927.

The spelling of 51000 in words is "fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000