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52020320 = 2551122687
BaseRepresentation
bin1100011001110…
…0010001100000
310121212220110112
43012130101200
5101304122240
65054550452
71201110512
oct306342140
9117786415
1052020320
1127400700
1215508428
13aa14b71
146ca1bb2
154878665
hex319c460

52020320 has 72 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 18909440.

The previous prime is 52020317. The next prime is 52020337. The reversal of 52020320 is 2302025.

It is a super-2 number, since 2×520203202 = 5412227385804800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52020295 and 52020304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18017 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 252020320 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 52020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

52020320 is an abundant number, since it is smaller than the sum of its proper divisors (83116192).

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

52020320 is a wasteful number, since it uses less digits than its factorization.

52020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 52020320 is about 7212.5113518108. The cubic root of 52020320 is about 373.2997277007.

Adding to 52020320 its reverse (2302025), we get a palindrome (54322345).

It can be divided in two parts, 52020 and 320, that multiplied together give a square (16646400 = 40802).

The spelling of 52020320 in words is "fifty-two million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 2687 3872 4840 5374 9680 10748 13435 19360 21496 26870 29557 42992 53740 59114 85984 107480 118228 147785 214960 236456 295570 325127 429920 472912 591140 650254 945824 1182280 1300508 1625635 2364560 2601016 3251270 4729120 5202032 6502540 10404064 13005080 26010160 52020320