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54417 = 3111797
BaseRepresentation
bin1101010010010001
32202122110
431102101
53220132
61055533
7314436
oct152221
982573
1054417
1137980
12275a9
131b9cc
1415b8d
15111cc
hexd491

54417 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 30720.

The previous prime is 54413. The next prime is 54419. The reversal of 54417 is 71445.

It is not a de Polignac number, because 54417 - 22 = 54413 is a prime.

It is a super-2 number, since 2×544172 = 5922419778, which contains 22 as substring.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54393 and 54402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54417.

It is not an unprimeable number, because it can be changed into a prime (54413) 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 15 ways as a sum of consecutive naturals, for example, 513 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

254417 is an apocalyptic number.

It is an amenable number.

54417 is a deficient number, since it is larger than the sum of its proper divisors (30255).

54417 is a wasteful number, since it uses less digits than its factorization.

54417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 560, while the sum is 21.

The square root of 54417 is about 233.2745163965. The cubic root of 54417 is about 37.8946760274.

It can be divided in two parts, 544 and 17, that added together give a triangular number (561 = T33).

The spelling of 54417 in words is "fifty-four thousand, four hundred seventeen".

Divisors: 1 3 11 17 33 51 97 187 291 561 1067 1649 3201 4947 18139 54417