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55738 = 229312
BaseRepresentation
bin1101100110111010
32211110101
431212322
53240423
61110014
7321334
oct154672
984411
1055738
1138971
122830a
131c4a7
1416454
15117ad
hexd9ba

55738 has 12 divisors (see below), whose sum is σ = 89370. Its totient is φ = 26040.

The previous prime is 55733. The next prime is 55763. The reversal of 55738 is 83755.

55738 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 8649 = 217^2 + 93^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (55733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1783 + ... + 1813.

255738 is an apocalyptic number.

55738 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

55738 is a deficient number, since it is larger than the sum of its proper divisors (33632).

55738 is a wasteful number, since it uses less digits than its factorization.

55738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 55738 is about 236.0889662818. The cubic root of 55738 is about 38.1988651290.

It can be divided in two parts, 557 and 38, that added together give a palindrome (595).

The spelling of 55738 in words is "fifty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 29 31 58 62 899 961 1798 1922 27869 55738