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52010820 = 223251723739
BaseRepresentation
bin1100011001100…
…1111101000100
310121212102102200
43012121331010
5101303321240
65054434500
71201041021
oct306317504
9117772380
1052010820
11273a4554
1215502a30
13aa10744
146c9c548
154875930
hex3199f44

52010820 has 144 divisors (see below), whose sum is σ = 174545280. Its totient is φ = 12469248.

The previous prime is 52010807. The next prime is 52010831. The reversal of 52010820 is 2801025.

52010820 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 52010793 and 52010802.

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, 70011 + ... + 70749.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 252010820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52010820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

52010820 is an abundant number, since it is smaller than the sum of its proper divisors (122534460).

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

52010820 is a wasteful number, since it uses less digits than its factorization.

52010820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52010820 is about 7211.8527439209. The cubic root of 52010820 is about 373.2770022009.

Adding to 52010820 its reverse (2801025), we get a palindrome (54811845).

The spelling of 52010820 in words is "fifty-two million, ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 739 765 782 828 1020 1035 1173 1380 1478 1530 1564 1955 2070 2217 2346 2956 3060 3519 3695 3910 4140 4434 4692 5865 6651 7038 7390 7820 8868 11085 11730 12563 13302 14076 14780 16997 17595 22170 23460 25126 26604 33255 33994 35190 37689 44340 50252 50991 62815 66510 67988 70380 75378 84985 101982 113067 125630 133020 150756 152973 169970 188445 203964 226134 251260 254955 288949 305946 339940 376890 452268 509910 565335 577898 611892 753780 764865 866847 1019820 1130670 1155796 1444745 1529730 1733694 2261340 2600541 2889490 3059460 3467388 4334235 5201082 5778980 8668470 10402164 13002705 17336940 26005410 52010820