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51006 = 238501
BaseRepresentation
bin1100011100111110
32120222010
430130332
53113011
61032050
7301464
oct143476
976863
1051006
113535a
1225626
131a2a7
1414834
15101a6
hexc73e

51006 has 8 divisors (see below), whose sum is σ = 102024. Its totient is φ = 17000.

The previous prime is 51001. The next prime is 51031. The reversal of 51006 is 60015.

It is a sphenic number, since it is the product of 3 distinct primes.

51006 is an admirable number.

It is a super-2 number, since 2×510062 = 5203224072, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 50982 and 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.

51006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4245 + ... + 4256.

It is an arithmetic number, because the mean of its divisors is an integer number (12753).

251006 is an apocalyptic number.

51006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51012).

51006 is a wasteful number, since it uses less digits than its factorization.

51006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 51006 is about 225.8450796453. The cubic root of 51006 is about 37.0857519218.

Subtracting 51006 from its reverse (60015), we obtain a palindrome (9009).

The spelling of 51006 in words is "fifty-one thousand, six".

Divisors: 1 2 3 6 8501 17002 25503 51006