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52020216 = 23321275689
BaseRepresentation
bin1100011001110…
…0001111111000
310121212220022200
43012130033320
5101304121331
65054550200
71201110303
oct306341770
9117786280
1052020216
1127400616
1215508360
13aa14ac1
146ca1b3a
1548785e6
hex319c3f8

52020216 has 48 divisors (see below), whose sum is σ = 142022400. Its totient is φ = 17200512.

The previous prime is 52020203. The next prime is 52020217. The reversal of 52020216 is 61202025.

It is a super-2 number, since 2×520202162 = 5412205745373312, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52020217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6300 + ... + 11988.

It is an arithmetic number, because the mean of its divisors is an integer number (2958800).

Almost surely, 252020216 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 52020216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71011200).

52020216 is an abundant number, since it is smaller than the sum of its proper divisors (90002184).

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

52020216 is a wasteful number, since it uses less digits than its factorization.

52020216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52020216 is about 7212.5041421132. The cubic root of 52020216 is about 373.2994789313.

It can be divided in two parts, 520 and 20216, that added together give a 4-th power (20736 = 124).

The spelling of 52020216 in words is "fifty-two million, twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 5689 9144 11378 17067 22756 34134 45512 51201 68268 102402 136536 204804 409608 722503 1445006 2167509 2890012 4335018 5780024 6502527 8670036 13005054 17340072 26010108 52020216