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53129319 = 3313971439
BaseRepresentation
bin1100101010101…
…1000001100111
310200222020201120
43022223001213
5102100114234
65134425023
71213406655
oct312530147
9120866646
1053129319
1127a98931
1215962173
13b012889
1470addd5
1549e7049
hex32ab067

53129319 has 16 divisors (see below), whose sum is σ = 73359360. Its totient is φ = 34166880.

The previous prime is 53129309. The next prime is 53129341. The reversal of 53129319 is 91392135.

53129319 = T306 + T307 + ... + T702.

53129319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53129319 - 212 = 53125223 is a prime.

It is a super-2 number, since 2×531293192 = 5645449074807522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53129319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53129309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36202 + ... + 37640.

It is an arithmetic number, because the mean of its divisors is an integer number (4584960).

Almost surely, 253129319 is an apocalyptic number.

53129319 is a deficient number, since it is larger than the sum of its proper divisors (20230041).

53129319 is a wasteful number, since it uses less digits than its factorization.

53129319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870.

The product of its digits is 7290, while the sum is 33.

The square root of 53129319 is about 7288.9861434907. The cubic root of 53129319 is about 375.9338361587.

The spelling of 53129319 in words is "fifty-three million, one hundred twenty-nine thousand, three hundred nineteen".

Divisors: 1 3 31 93 397 1191 1439 4317 12307 36921 44609 133827 571283 1713849 17709773 53129319