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53321085 = 345312137
BaseRepresentation
bin1100101101100…
…1110101111101
310201022222210000
43023121311331
5102122233320
65142504513
71215136026
oct313316575
9121288700
1053321085
1128109a14
1215a35139
13b07bc4c
14711dc4d
154a33c90
hex32d9d7d

53321085 has 60 divisors (see below), whose sum is σ = 99486684. Its totient is φ = 27319680.

The previous prime is 53321083. The next prime is 53321089. The reversal of 53321085 is 58012335.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 28100601 = 5022^2 + 5301^2 .

It is not a de Polignac number, because 53321085 - 21 = 53321083 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53321083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 389137 + ... + 389273.

Almost surely, 253321085 is an apocalyptic number.

It is an amenable number.

53321085 is a deficient number, since it is larger than the sum of its proper divisors (46165599).

53321085 is a wasteful number, since it uses less digits than its factorization.

53321085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53321085 is about 7302.1287991927. The cubic root of 53321085 is about 376.3855940389.

The spelling of 53321085 in words is "fifty-three million, three hundred twenty-one thousand, eighty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 137 155 279 405 411 465 685 837 961 1233 1395 2055 2511 2883 3699 4185 4247 4805 6165 8649 11097 12555 12741 14415 18495 21235 25947 38223 43245 55485 63705 77841 114669 129735 131657 191115 344007 389205 394971 573345 658285 1184913 1720035 1974855 3554739 5924565 10664217 17773695 53321085