Search a number
-
+
52806330 = 235531701
BaseRepresentation
bin1100100101110…
…0001010111010
310200100211200000
43021130022322
5102004300310
65123453430
71210563213
oct311341272
9120324600
1052806330
11278981a5
1215827276
13ac2b865
14702840a
1549814c0
hex325c2ba

52806330 has 96 divisors (see below), whose sum is σ = 147184128. Its totient is φ = 13608000.

The previous prime is 52806323. The next prime is 52806353. The reversal of 52806330 is 3360825.

52806330 is a `hidden beast` number, since 5 + 28 + 0 + 633 + 0 = 666.

52806330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 52806294 and 52806303.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 74980 + ... + 75680.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 252806330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52806330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064).

52806330 is an abundant number, since it is smaller than the sum of its proper divisors (94377798).

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

52806330 is a wasteful number, since it uses less digits than its factorization.

52806330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

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

The square root of 52806330 is about 7266.7964055697. The cubic root of 52806330 is about 375.1704824835.

The spelling of 52806330 in words is "fifty-two million, eight hundred six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 701 810 837 930 1215 1395 1402 1674 2103 2430 2511 2790 3505 4185 4206 5022 6309 7010 7533 8370 10515 12555 12618 15066 18927 21030 21731 25110 31545 37665 37854 43462 56781 63090 65193 75330 94635 108655 113562 130386 170343 189270 195579 217310 283905 325965 340686 391158 567810 586737 651930 851715 977895 1173474 1703430 1760211 1955790 2933685 3520422 5280633 5867370 8801055 10561266 17602110 26403165 52806330