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512500000 = 255841
BaseRepresentation
bin11110100011000…
…010000100100000
31022201100200211111
4132203002010200
52022200000000
6122504353104
715462115045
oct3643020440
91281320744
10512500000
11243324921
12123775794
138224084c
144c0cb1cc
152eed6cba
hex1e8c2120

512500000 has 108 divisors (see below), whose sum is σ = 1291991526. Its totient is φ = 200000000.

The previous prime is 512499997. The next prime is 512500013. The reversal of 512500000 is 5215.

512500000 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 9 ways, for example, as 412739856 + 99760144 = 20316^2 + 9988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12499980 + ... + 12500020.

Almost surely, 2512500000 is an apocalyptic number.

512500000 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 512500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645995763).

512500000 is an abundant number, since it is smaller than the sum of its proper divisors (779491526).

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

512500000 is an frugal number, since it uses more digits than its factorization.

512500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 512500000 is about 22638.4628453435. The cubic root of 512500000 is about 800.2603319416.

Adding to 512500000 its reverse (5215), we get a palindrome (512505215).

It can be divided in two parts, 512 and 500000, that multiplied together give a square (256000000 = 160002).

The spelling of 512500000 in words is "five hundred twelve million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3125 3280 4000 4100 5000 5125 6250 6560 8200 10000 10250 12500 15625 16400 20000 20500 25000 25625 31250 32800 41000 50000 51250 62500 78125 82000 100000 102500 125000 128125 156250 164000 205000 250000 256250 312500 390625 410000 500000 512500 625000 640625 781250 820000 1025000 1250000 1281250 1562500 2050000 2500000 2562500 3125000 3203125 4100000 5125000 6250000 6406250 10250000 12500000 12812500 16015625 20500000 25625000 32031250 51250000 64062500 102500000 128125000 256250000 512500000