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53544 = 2332397
BaseRepresentation
bin1101000100101000
32201110010
431010220
53203134
61051520
7312051
oct150450
981403
1053544
1137257
1226ba0
131b4aa
1415728
1510ce9
hexd128

53544 has 32 divisors (see below), whose sum is σ = 141120. Its totient is φ = 16896.

The previous prime is 53527. The next prime is 53549. The reversal of 53544 is 44535.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53544.

It is not an unprimeable number, because it can be changed into a prime (53549) by changing a digit.

53544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

253544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

53544 is an abundant number, since it is smaller than the sum of its proper divisors (87576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53544 is a wasteful number, since it uses less digits than its factorization.

53544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 1200, while the sum is 21.

The square root of 53544 is about 231.3957648705. The cubic root of 53544 is about 37.6909372733.

Subtracting from 53544 its reverse (44535), we obtain a palindrome (9009).

The spelling of 53544 in words is "fifty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 97 138 184 194 276 291 388 552 582 776 1164 2231 2328 4462 6693 8924 13386 17848 26772 53544