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52330000 = 24545233
BaseRepresentation
bin1100011110011…
…1111000010000
310122110122021011
43013213320100
5101344030000
65105340304
71203540412
oct307477020
9118418234
1052330000
11275a2338
1215637694
13aac2ac8
146d429b2
1548da2ba
hex31e7e10

52330000 has 50 divisors (see below), whose sum is σ = 126720374. Its totient is φ = 20928000.

The previous prime is 52329997. The next prime is 52330013. The reversal of 52330000 is 3325.

52330000 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 5 ways, for example, as 7225344 + 45104656 = 2688^2 + 6716^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 7384 + ... + 12616.

Almost surely, 252330000 is an apocalyptic number.

52330000 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 52330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360187).

52330000 is an abundant number, since it is smaller than the sum of its proper divisors (74390374).

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

52330000 is an equidigital number, since it uses as much as digits as its factorization.

52330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 52330000 is about 7233.9477465627. The cubic root of 52330000 is about 374.0390209699.

Adding to 52330000 its reverse (3325), we get a palindrome (52333325).

The spelling of 52330000 in words is "fifty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 5233 10000 10466 20932 26165 41864 52330 83728 104660 130825 209320 261650 418640 523300 654125 1046600 1308250 2093200 2616500 3270625 5233000 6541250 10466000 13082500 26165000 52330000