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53344 = 251667
BaseRepresentation
bin1101000001100000
32201011201
431001200
53201334
61050544
7311344
oct150140
981151
1053344
1137095
1226a54
131b385
1415624
1510c14
hexd060

53344 has 12 divisors (see below), whose sum is σ = 105084. Its totient is φ = 26656.

The previous prime is 53327. The next prime is 53353. The reversal of 53344 is 44335.

Adding to 53344 its reverse (44335), we get a palindrome (97679).

Subtracting from 53344 its reverse (44335), we obtain a palindrome (9009).

53344 = T41 + T42 + ... + T72.

It is a congruent number.

It is an unprimeable number.

53344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 802 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (8757).

253344 is an apocalyptic number.

It is an amenable number.

53344 is a deficient number, since it is larger than the sum of its proper divisors (51740).

53344 is a wasteful number, since it uses less digits than its factorization.

53344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its digits is 720, while the sum is 19.

The square root of 53344 is about 230.9632005320. The cubic root of 53344 is about 37.6439504174.

The spelling of 53344 in words is "fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 1667 3334 6668 13336 26672 53344