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51688 = 2371371
BaseRepresentation
bin1100100111101000
32121220101
430213220
53123223
61035144
7303460
oct144750
977811
1051688
113591a
1225ab4
131a6b0
1414ba0
15104ad
hexc9e8

51688 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 20160.

The previous prime is 51683. The next prime is 51691. The reversal of 51688 is 88615.

It is a happy number.

51688 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 (28).

It is not an unprimeable number, because it can be changed into a prime (51683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

251688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

51688 is an abundant number, since it is smaller than the sum of its proper divisors (69272).

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

51688 is a wasteful number, since it uses less digits than its factorization.

51688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 51688 is about 227.3499505168. The cubic root of 51688 is about 37.2503115449.

The spelling of 51688 in words is "fifty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 91 104 142 182 284 364 497 568 728 923 994 1846 1988 3692 3976 6461 7384 12922 25844 51688