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50000200 = 235253289
BaseRepresentation
bin1011111010111…
…1000101001000
310111002021101021
42332233011020
5100300001300
64543402224
71144665115
oct276570510
9114067337
1050000200
1126250988
12148b3374
13a488523
1468d790c
1545c9d1a
hex2faf148

50000200 has 72 divisors (see below), whose sum is σ = 119816550. Its totient is φ = 19402240.

The previous prime is 50000161. The next prime is 50000201. The reversal of 50000200 is 200005.

50000200 = T1117 + T1118 + ... + T1191.

It can be written as a sum of positive squares in 9 ways, for example, as 4761124 + 45239076 = 2182^2 + 6726^2 .

It is a sliding number, since 50000200 = 200 + 50000000 and 1/200 + 1/50000000 = 0.0050000200.

It is not an unprimeable number, because it can be changed into a prime (50000201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 561756 + ... + 561844.

Almost surely, 250000200 is an apocalyptic number.

50000200 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 50000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59908275).

50000200 is an abundant number, since it is smaller than the sum of its proper divisors (69816350).

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

50000200 is a wasteful number, since it uses less digits than its factorization.

50000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 50000200 is about 7071.0819539870. The cubic root of 50000200 is about 368.4036410676.

Adding to 50000200 its reverse (200005), we get a palindrome (50200205).

It can be divided in two parts, 50000 and 200, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 50000200 in words is "fifty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 53 89 100 106 178 200 212 265 356 424 445 530 712 890 1060 1325 1780 2120 2225 2650 2809 3560 4450 4717 5300 5618 8900 9434 10600 11236 14045 17800 18868 22472 23585 28090 37736 47170 56180 70225 94340 112360 117925 140450 188680 235850 250001 280900 471700 500002 561800 943400 1000004 1250005 2000008 2500010 5000020 6250025 10000040 12500050 25000100 50000200