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52285000 = 235410457
BaseRepresentation
bin1100011101110…
…0111001001000
310122101100112111
43013130321020
5101341110000
65104352104
71203262255
oct307347110
9118340474
1052285000
1127571549
1215615634
13aaa8491
146d3042c
1548cbcba
hex31dce48

52285000 has 40 divisors (see below), whose sum is σ = 122515470. Its totient is φ = 20912000.

The previous prime is 52284997. The next prime is 52285007. The reversal of 52285000 is 58225.

52285000 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 5963364 + 46321636 = 2442^2 + 6806^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (52285007) 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 9 ways as a sum of consecutive naturals, for example, 229 + ... + 10228.

Almost surely, 252285000 is an apocalyptic number.

52285000 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 52285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61257735).

52285000 is an abundant number, since it is smaller than the sum of its proper divisors (70230470).

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

52285000 is a wasteful number, since it uses less digits than its factorization.

52285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 52285000 is about 7230.8367427290. The cubic root of 52285000 is about 373.9317747571.

The spelling of 52285000 in words is "fifty-two million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10457 20914 41828 52285 83656 104570 209140 261425 418280 522850 1045700 1307125 2091400 2614250 5228500 6535625 10457000 13071250 26142500 52285000