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55293 = 372633
BaseRepresentation
bin1101011111111101
32210211220
431133331
53232133
61103553
7320130
oct153775
983756
1055293
11385a7
1227bb9
131c224
1416217
15115b3
hexd7fd

55293 has 8 divisors (see below), whose sum is σ = 84288. Its totient is φ = 31584.

The previous prime is 55291. The next prime is 55313. The reversal of 55293 is 39255.

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

It is not a de Polignac number, because 55293 - 21 = 55291 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

55293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (10536).

255293 is an apocalyptic number.

It is an amenable number.

55293 is a deficient number, since it is larger than the sum of its proper divisors (28995).

55293 is a wasteful number, since it uses less digits than its factorization.

55293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643.

The product of its digits is 1350, while the sum is 24.

The square root of 55293 is about 235.1446363411. The cubic root of 55293 is about 38.0969362586.

The spelling of 55293 in words is "fifty-five thousand, two hundred ninety-three".

Divisors: 1 3 7 21 2633 7899 18431 55293