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52590500 = 2253107983
BaseRepresentation
bin1100100010011…
…1011110100100
310122221212121022
43020213132210
5101430344000
65115110312
71206004034
oct310473644
9118855538
1052590500
1127760026
1215742398
13ab84551
146dad8c4
15493c585
hex32277a4

52590500 has 48 divisors (see below), whose sum is σ = 116049024. Its totient is φ = 20818400.

The previous prime is 52590497. The next prime is 52590521. The reversal of 52590500 is 509525.

52590500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52590500.

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 15 ways as a sum of consecutive naturals, for example, 53009 + ... + 53991.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 252590500 is an apocalyptic number.

52590500 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 52590500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58024512).

52590500 is an abundant number, since it is smaller than the sum of its proper divisors (63458524).

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

52590500 is a wasteful number, since it uses less digits than its factorization.

52590500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 52590500 is about 7251.9307773861. The cubic root of 52590500 is about 374.6586523420.

The spelling of 52590500 in words is "fifty-two million, five hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 125 214 250 428 500 535 983 1070 1966 2140 2675 3932 4915 5350 9830 10700 13375 19660 24575 26750 49150 53500 98300 105181 122875 210362 245750 420724 491500 525905 1051810 2103620 2629525 5259050 10518100 13147625 26295250 52590500