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55688 = 236961
BaseRepresentation
bin1101100110001000
32211101112
431212020
53240223
61105452
7321233
oct154610
984345
1055688
1138926
1228288
131c469
141641a
1511778
hexd988

55688 has 8 divisors (see below), whose sum is σ = 104430. Its totient is φ = 27840.

The previous prime is 55681. The next prime is 55691. The reversal of 55688 is 88655.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 14884 = 202^2 + 122^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55681) by changing a digit.

55688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 3473 + ... + 3488.

255688 is an apocalyptic number.

It is an amenable number.

55688 is a deficient number, since it is larger than the sum of its proper divisors (48742).

55688 is a wasteful number, since it uses less digits than its factorization.

55688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6963 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 55688 is about 235.9830502388. The cubic root of 55688 is about 38.1874395626.

It can be divided in two parts, 5568 and 8, that multiplied together give a palindrome (44544).

The spelling of 55688 in words is "fifty-five thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 6961 13922 27844 55688