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53383 = 1123211
BaseRepresentation
bin1101000010000111
32201020011
431002013
53202013
61051051
7311431
oct150207
981204
1053383
1137120
1226a87
131b3b5
1415651
1510c3d
hexd087

53383 has 8 divisors (see below), whose sum is σ = 61056. Its totient is φ = 46200.

The previous prime is 53381. The next prime is 53401. The reversal of 53383 is 38335.

53383 is nontrivially palindromic in base 14.

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

It is not a de Polignac number, because 53383 - 21 = 53381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53381) 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, 148 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

253383 is an apocalyptic number.

53383 is the 124-th centered heptagonal number.

53383 is a deficient number, since it is larger than the sum of its proper divisors (7673).

53383 is a wasteful number, since it uses less digits than its factorization.

53383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245.

The product of its digits is 1080, while the sum is 22.

The square root of 53383 is about 231.0476141405. The cubic root of 53383 is about 37.6531220607.

Subtracting from 53383 its sum of digits (22), we obtain a square (53361 = 2312).

It can be divided in two parts, 533 and 83, that added together give a palindrome (616).

The spelling of 53383 in words is "fifty-three thousand, three hundred eighty-three".

Divisors: 1 11 23 211 253 2321 4853 53383