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52020200 = 2352298969
BaseRepresentation
bin1100011001110…
…0001111101000
310121212220022002
43012130033220
5101304121300
65054550132
71201110251
oct306341750
9117786262
1052020200
1127400601
1215508348
13aa14aab
146ca1b28
1548785d5
hex319c3e8

52020200 has 48 divisors (see below), whose sum is σ = 125131500. Its totient is φ = 20088320.

The previous prime is 52020193. The next prime is 52020203. The reversal of 52020200 is 202025.

52020200 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 6 ways, for example, as 20052484 + 31967716 = 4478^2 + 5654^2 .

It is a super-2 number, since 2×520202002 = 5412202416080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52020203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1316 + ... + 10284.

Almost surely, 252020200 is an apocalyptic number.

52020200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62565750).

52020200 is an abundant number, since it is smaller than the sum of its proper divisors (73111300).

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

52020200 is a wasteful number, since it uses less digits than its factorization.

52020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 52020200 is about 7212.5030329283. The cubic root of 52020200 is about 373.2994406590.

Adding to 52020200 its reverse (202025), we get a palindrome (52222225).

The spelling of 52020200 in words is "fifty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 8969 17938 35876 44845 71752 89690 179380 224225 260101 358760 448450 520202 896900 1040404 1300505 1793800 2080808 2601010 5202020 6502525 10404040 13005050 26010100 52020200