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54353 = 1337113
BaseRepresentation
bin1101010001010001
32202120002
431101101
53214403
61055345
7314315
oct152121
982502
1054353
1137922
1227555
131b980
1415b45
1511188
hexd451

54353 has 8 divisors (see below), whose sum is σ = 60648. Its totient is φ = 48384.

The previous prime is 54347. The next prime is 54361. The reversal of 54353 is 35345.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 53824 = 23^2 + 232^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54353 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54323) 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 7 ways as a sum of consecutive naturals, for example, 425 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

254353 is an apocalyptic number.

It is an amenable number.

54353 is a deficient number, since it is larger than the sum of its proper divisors (6295).

54353 is a wasteful number, since it uses less digits than its factorization.

54353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 900, while the sum is 20.

The square root of 54353 is about 233.1372986032. The cubic root of 54353 is about 37.8798141847.

Adding to 54353 its reverse (35345), we get a palindrome (89698).

The spelling of 54353 in words is "fifty-four thousand, three hundred fifty-three".

Divisors: 1 13 37 113 481 1469 4181 54353