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53027766 = 23211297251
BaseRepresentation
bin1100101001001…
…0001110110110
310200210002102100
43022102032312
5102033342031
65132322530
71212504621
oct312221666
9120702370
1053027766
1127a29600
1215913446
13aca859c
147084db8
1549c6de6
hex32923b6

53027766 has 72 divisors (see below), whose sum is σ = 128098152. Its totient is φ = 15840000.

The previous prime is 53027761. The next prime is 53027783. The reversal of 53027766 is 66772035.

It is a happy number.

53027766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×530277663 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53027766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53027761) 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 35 ways as a sum of consecutive naturals, for example, 211141 + ... + 211391.

It is an arithmetic number, because the mean of its divisors is an integer number (1779141).

Almost surely, 253027766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53027766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64049076).

53027766 is an abundant number, since it is smaller than the sum of its proper divisors (75070386).

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

53027766 is a wasteful number, since it uses less digits than its factorization.

53027766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 53027766 is about 7282.0166162952. The cubic root of 53027766 is about 375.6941595871.

The spelling of 53027766 in words is "fifty-three million, twenty-seven thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 121 194 198 242 251 291 363 502 582 726 753 873 1067 1089 1506 1746 2134 2178 2259 2761 3201 4518 5522 6402 8283 9603 11737 16566 19206 23474 24347 24849 30371 35211 48694 49698 60742 70422 73041 91113 105633 146082 182226 211266 219123 267817 273339 438246 535634 546678 803451 1606902 2410353 2945987 4820706 5891974 8837961 17675922 26513883 53027766