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51740200 = 2352614241
BaseRepresentation
bin1100010101011…
…1111000101000
310121100200012201
43011113320220
5101221141300
65044545544
71165533031
oct305277050
9117320181
1051740200
112722a1a6
12153b22b4
13a947505
146c2ba88
15482066a
hex3157e28

51740200 has 48 divisors (see below), whose sum is σ = 122296860. Its totient is φ = 20352000.

The previous prime is 51740191. The next prime is 51740207. The reversal of 51740200 is 204715.

51740200 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 6 ways, for example, as 20088324 + 31651876 = 4482^2 + 5626^2 .

It is not an unprimeable number, because it can be changed into a prime (51740207) 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 11 ways as a sum of consecutive naturals, for example, 10080 + ... + 14320.

Almost surely, 251740200 is an apocalyptic number.

51740200 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 51740200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61148430).

51740200 is an abundant number, since it is smaller than the sum of its proper divisors (70556660).

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

51740200 is a wasteful number, since it uses less digits than its factorization.

51740200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 51740200 is about 7193.0661056326. The cubic root of 51740200 is about 372.6284709188.

Adding to 51740200 its reverse (204715), we get a palindrome (51944915).

The spelling of 51740200 in words is "fifty-one million, seven hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 4241 6100 8482 12200 16964 21205 33928 42410 84820 106025 169640 212050 258701 424100 517402 848200 1034804 1293505 2069608 2587010 5174020 6467525 10348040 12935050 25870100 51740200