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53318538 = 23271343757
BaseRepresentation
bin1100101101100…
…1001110001010
310201022212021200
43023121032022
5102122143123
65142445030
71215125430
oct313311612
9121285250
1053318538
1128108009
1215a33776
13b07aa40
14711cd50
154a33143
hex32d938a

53318538 has 96 divisors (see below), whose sum is σ = 145681536. Its totient is φ = 13716864.

The previous prime is 53318519. The next prime is 53318557. The reversal of 53318538 is 83581335.

53318538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53318519) and next prime (53318557).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70056 + ... + 70812.

It is an arithmetic number, because the mean of its divisors is an integer number (1517516).

Almost surely, 253318538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53318538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72840768).

53318538 is an abundant number, since it is smaller than the sum of its proper divisors (92362998).

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

53318538 is a wasteful number, since it uses less digits than its factorization.

53318538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 825 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 53318538 is about 7301.9543959135. The cubic root of 53318538 is about 376.3796009789.

The spelling of 53318538 in words is "fifty-three million, three hundred eighteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 387 546 559 602 757 774 819 903 1118 1514 1638 1677 1806 2271 2709 3354 3913 4542 5031 5299 5418 6813 7826 9841 10062 10598 11739 13626 15897 19682 23478 29523 31794 32551 35217 47691 59046 65102 68887 70434 88569 95382 97653 137774 177138 195306 206661 227857 292959 413322 423163 455714 585918 619983 683571 846326 1239966 1269489 1367142 2050713 2538978 2962141 3808467 4101426 5924282 7616934 8886423 17772846 26659269 53318538