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53352 = 23331319
BaseRepresentation
bin1101000001101000
32201012000
431001220
53201402
61051000
7311355
oct150150
981160
1053352
11370a2
1226a60
131b390
141562c
1510c1c
hexd068

53352 has 64 divisors (see below), whose sum is σ = 168000. Its totient is φ = 15552.

The previous prime is 53327. The next prime is 53353. The reversal of 53352 is 25335.

Adding to 53352 its reverse (25335), we get a palindrome (78687).

It can be divided in two parts, 533 and 52, that added together give a palindrome (585).

53352 = 33 + 43 + ... + 213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53352.

It is not an unprimeable number, because it can be changed into a prime (53353) by changing a digit.

53352 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 15 ways as a sum of consecutive naturals, for example, 2799 + ... + 2817.

It is an arithmetic number, because the mean of its divisors is an integer number (2625).

253352 is an apocalyptic number.

53352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84000).

53352 is an abundant number, since it is smaller than the sum of its proper divisors (114648).

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

53352 is a wasteful number, since it uses less digits than its factorization.

53352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 37 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 53352 is about 230.9805186590. The cubic root of 53352 is about 37.6458321445.

The spelling of 53352 in words is "fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352