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52023060 = 22345171889
BaseRepresentation
bin1100011001110…
…0111100010100
310121220001020000
43012130330110
5101304214220
65055011300
71201121505
oct306347424
9117801200
1052023060
1127402771
1215509b30
13aa1619b
146ca2bac
154879390
hex319cf14

52023060 has 120 divisors (see below), whose sum is σ = 172889640. Its totient is φ = 13049856.

The previous prime is 52023019. The next prime is 52023089. The reversal of 52023060 is 6032025.

52023060 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 4 ways, for example, as 10265616 + 41757444 = 3204^2 + 6462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 26596 + ... + 28484.

It is an arithmetic number, because the mean of its divisors is an integer number (1440747).

Almost surely, 252023060 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 52023060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86444820).

52023060 is an abundant number, since it is smaller than the sum of its proper divisors (120866580).

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

52023060 is a wasteful number, since it uses less digits than its factorization.

52023060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52023060 is about 7212.7012970176. The cubic root of 52023060 is about 373.3062816992.

Adding to 52023060 its reverse (6032025), we get a palindrome (58055085).

The spelling of 52023060 in words is "fifty-two million, twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 1889 2295 2754 3060 3778 4590 5508 5667 6885 7556 9180 9445 11334 13770 17001 18890 22668 27540 28335 32113 34002 37780 51003 56670 64226 68004 85005 96339 102006 113340 128452 153009 160565 170010 192678 204012 255015 289017 306018 321130 340020 385356 481695 510030 578034 612036 642260 765045 867051 963390 1020060 1156068 1445085 1530090 1734102 1926780 2601153 2890170 3060180 3468204 4335255 5202306 5780340 8670510 10404612 13005765 17341020 26011530 52023060