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52086330 = 2325432313
BaseRepresentation
bin1100011010110…
…0011000111010
310122000021000100
43012230120322
5101313230310
65100220230
71201504122
oct306543072
9118007010
1052086330
112744625a
121553a676
13aa38c1a
146cbbc82
15488cec0
hex31ac63a

52086330 has 72 divisors (see below), whose sum is σ = 139090068. Its totient is φ = 13523328.

The previous prime is 52086323. The next prime is 52086371. The reversal of 52086330 is 3368025.

52086330 is a `hidden beast` number, since 5 + 20 + 8 + 633 + 0 = 666.

52086330 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 2 ways, for example, as 43283241 + 8803089 = 6579^2 + 2967^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52086294 and 52086303.

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 35 ways as a sum of consecutive naturals, for example, 166254 + ... + 166566.

Almost surely, 252086330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52086330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69545034).

52086330 is an abundant number, since it is smaller than the sum of its proper divisors (87003738).

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

52086330 is a wasteful number, since it uses less digits than its factorization.

52086330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52086330 is about 7217.0859770409. The cubic root of 52086330 is about 373.4575576897.

The spelling of 52086330 in words is "fifty-two million, eighty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 313 387 430 626 645 774 939 1290 1565 1849 1878 1935 2817 3130 3698 3870 4695 5547 5634 9245 9390 11094 13459 14085 16641 18490 26918 27735 28170 33282 40377 55470 67295 80754 83205 121131 134590 166410 201885 242262 403770 578737 605655 1157474 1211310 1736211 2893685 3472422 5208633 5787370 8681055 10417266 17362110 26043165 52086330