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53244 = 22331729
BaseRepresentation
bin1100111111111100
32201001000
430333330
53200434
61050300
7311142
oct147774
981030
1053244
1137004
1226990
131b309
1415592
1510b99
hexcffc

53244 has 48 divisors (see below), whose sum is σ = 151200. Its totient is φ = 16128.

The previous prime is 53239. The next prime is 53267. The reversal of 53244 is 44235.

It is a happy number.

53244 is nontrivially palindromic in base 16.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

53244 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, 1822 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

253244 is an apocalyptic number.

53244 is a gapful number since it is divisible by the number (54) 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 53244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

53244 is an abundant number, since it is smaller than the sum of its proper divisors (97956).

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

53244 is a wasteful number, since it uses less digits than its factorization.

53244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 53244 is about 230.7466142764. The cubic root of 53244 is about 37.6204129388.

Adding to 53244 its reverse (44235), we get a palindrome (97479).

Subtracting from 53244 its reverse (44235), we obtain a palindrome (9009).

It can be divided in two parts, 532 and 44, that added together give a square (576 = 242).

The spelling of 53244 in words is "fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 918 986 1044 1479 1566 1836 1972 2958 3132 4437 5916 8874 13311 17748 26622 53244