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51768 = 2332719
BaseRepresentation
bin1100101000111000
32122000100
430220320
53124033
61035400
7303633
oct145070
978010
1051768
1135992
1225b60
131a742
1414c1a
1510513
hexca38

51768 has 24 divisors (see below), whose sum is σ = 140400. Its totient is φ = 17232.

The previous prime is 51767. The next prime is 51769. The reversal of 51768 is 86715.

It is an interprime number because it is at equal distance from previous prime (51767) and next prime (51769).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

251768 is an apocalyptic number.

It is an amenable number.

51768 is an abundant number, since it is smaller than the sum of its proper divisors (88632).

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

51768 is a wasteful number, since it uses less digits than its factorization.

51768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51768 is about 227.5258227103. The cubic root of 51768 is about 37.2695196706.

It can be divided in two parts, 5176 and 8, that added together give a square (5184 = 722).

The spelling of 51768 in words is "fifty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 719 1438 2157 2876 4314 5752 6471 8628 12942 17256 25884 51768