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53643044 = 22721337569
BaseRepresentation
bin1100110010100…
…0011100100100
310201221100102102
43030220130210
5102213034134
65153431232
71220646500
oct314503444
9121840372
1053643044
11283098a4
1215b6b518
13b162660
1471a5300
154a9937e
hex3328724

53643044 has 72 divisors (see below), whose sum is σ = 120992760. Its totient is φ = 20611584.

The previous prime is 53643043. The next prime is 53643067. The reversal of 53643044 is 44034635.

It can be written as a sum of positive squares in 4 ways, for example, as 3062500 + 50580544 = 1750^2 + 7112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53642998 and 53643016.

It is not an unprimeable number, because it can be changed into a prime (53643043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93992 + ... + 94560.

It is an arithmetic number, because the mean of its divisors is an integer number (1680455).

Almost surely, 253643044 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 53643044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496380).

53643044 is an abundant number, since it is smaller than the sum of its proper divisors (67349716).

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

53643044 is a wasteful number, since it uses less digits than its factorization.

53643044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 53643044 is about 7324.1411783225. The cubic root of 53643044 is about 377.1416279367.

Adding to 53643044 its reverse (44034635), we get a palindrome (97677679).

The spelling of 53643044 in words is "fifty-three million, six hundred forty-three thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 182 196 259 364 481 518 569 637 962 1036 1138 1274 1813 1924 2276 2548 3367 3626 3983 6734 7252 7397 7966 13468 14794 15932 21053 23569 27881 29588 42106 47138 51779 55762 84212 94276 103558 111524 147371 207116 273689 294742 362453 547378 589484 724906 1031597 1094756 1449812 1915823 2063194 3831646 4126388 7663292 13410761 26821522 53643044