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53344224 = 2533292129
BaseRepresentation
bin1100101101111…
…1011111100000
310201101011112000
43023133133200
5102124003344
65143204000
71215263343
oct313373740
9121334460
1053344224
112812533a
1215a46600
13b08963b
14712845a
154a3aa69
hex32df7e0

53344224 has 96 divisors (see below), whose sum is σ = 161028000. Its totient is φ = 17160192.

The previous prime is 53344219. The next prime is 53344231. The reversal of 53344224 is 42244335.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23992 + ... + 26120.

It is an arithmetic number, because the mean of its divisors is an integer number (1677375).

Almost surely, 253344224 is an apocalyptic number.

53344224 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 53344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80514000).

53344224 is an abundant number, since it is smaller than the sum of its proper divisors (107683776).

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

53344224 is a wasteful number, since it uses less digits than its factorization.

53344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2163 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 53344224 is about 7303.7130283165. The cubic root of 53344224 is about 376.4400310829.

Adding to 53344224 its reverse (42244335), we get a palindrome (95588559).

The spelling of 53344224 in words is "fifty-three million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2129 2784 3132 4176 4258 6264 6387 8352 8516 12528 12774 17032 19161 25056 25548 34064 38322 51096 57483 61741 68128 76644 102192 114966 123482 153288 185223 204384 229932 246964 306576 370446 459864 493928 555669 613152 740892 919728 987856 1111338 1481784 1667007 1839456 1975712 2222676 2963568 3334014 4445352 5927136 6668028 8890704 13336056 17781408 26672112 53344224