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523400000 = 26552617
BaseRepresentation
bin11111001100100…
…111001101000000
31100110212110211012
4133030213031000
52032442300000
6123534140052
715653553344
oct3714471500
91313773735
10523400000
1124949a192
12127351628
1384588c56
144d727624
1530e3b735
hex1f327340

523400000 has 84 divisors (see below), whose sum is σ = 1298690316. Its totient is φ = 209280000.

The previous prime is 523399993. The next prime is 523400077. The reversal of 523400000 is 4325.

523400000 is digitally balanced in base 6, 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 282777856 + 240622144 = 16816^2 + 15512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198692 + ... + 201308.

It is an arithmetic number, because the mean of its divisors is an integer number (15460599).

Almost surely, 2523400000 is an apocalyptic number.

523400000 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 523400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649345158).

523400000 is an abundant number, since it is smaller than the sum of its proper divisors (775290316).

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

523400000 is an frugal number, since it uses more digits than its factorization.

523400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 523400000 is about 22877.9369699280. The cubic root of 523400000 is about 805.8939697600.

Adding to 523400000 its reverse (4325), we get a palindrome (523404325).

The spelling of 523400000 in words is "five hundred twenty-three million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2617 3125 4000 5000 5234 6250 8000 10000 10468 12500 13085 20000 20936 25000 26170 40000 41872 50000 52340 65425 83744 100000 104680 130850 167488 200000 209360 261700 327125 418720 523400 654250 837440 1046800 1308500 1635625 2093600 2617000 3271250 4187200 5234000 6542500 8178125 10468000 13085000 16356250 20936000 26170000 32712500 52340000 65425000 104680000 130850000 261700000 523400000