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53568 = 263331
BaseRepresentation
bin1101000101000000
32201111000
431011000
53203233
61052000
7312114
oct150500
981430
1053568
1137279
1227000
131b4c8
1415744
1510d13
hexd140

53568 has 56 divisors (see below), whose sum is σ = 162560. Its totient is φ = 17280.

The previous prime is 53551. The next prime is 53569. The reversal of 53568 is 86535.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3600) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53569) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1713 + ... + 1743.

253568 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 53568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280).

53568 is an abundant number, since it is smaller than the sum of its proper divisors (108992).

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

53568 is a wasteful number, since it uses less digits than its factorization.

53568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53568 is about 231.4476182638. The cubic root of 53568 is about 37.6965678287.

The spelling of 53568 in words is "fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568