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53135028 = 2234163997
BaseRepresentation
bin1100101010110…
…0011010110100
310200222112120000
43022230122310
5102100310103
65134511300
71213432422
oct312543264
9120875500
1053135028
1127aa2151
1215965530
13b01535b
1470b2112
1549e8aa3
hex32ac6b4

53135028 has 30 divisors (see below), whose sum is σ = 138906306. Its totient is φ = 17711568.

The previous prime is 53135009. The next prime is 53135029. The reversal of 53135028 is 82053135.

53135028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36144144 + 16990884 = 6012^2 + 4122^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53134992 and 53135010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53135029) 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 9 ways as a sum of consecutive naturals, for example, 81675 + ... + 82322.

Almost surely, 253135028 is an apocalyptic number.

It is an amenable number.

53135028 is an abundant number, since it is smaller than the sum of its proper divisors (85771278).

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

53135028 is a wasteful number, since it uses less digits than its factorization.

53135028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164013 (or 164002 counting only the distinct ones).

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

The square root of 53135028 is about 7289.3777512213. The cubic root of 53135028 is about 375.9473009739.

The spelling of 53135028 in words is "fifty-three million, one hundred thirty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 163997 327994 491991 655988 983982 1475973 1967964 2951946 4427919 5903892 8855838 13283757 17711676 26567514 53135028