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5200431300 = 22325235316369
BaseRepresentation
bin1001101011111100…
…00100100011000100
3111102102112021121200
410311332010203010
541122302300200
62220011142500
7242604636201
oct46576044304
914372467550
105200431300
112229565009
121011744a30
1364b5372ac
14374956ca8
15206848800
hex135f848c4

5200431300 has 108 divisors (see below), whose sum is σ = 16347638580. Its totient is φ = 1382768640.

The previous prime is 5200431287. The next prime is 5200431323. The reversal of 5200431300 is 31340025.

5200431300 is a `hidden beast` number, since 5 + 200 + 431 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 409576644 + 4790854656 = 20238^2 + 69216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309516 + ... + 325884.

Almost surely, 25200431300 is an apocalyptic number.

5200431300 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 5200431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173819290).

5200431300 is an abundant number, since it is smaller than the sum of its proper divisors (11147207280).

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

5200431300 is a wasteful number, since it uses less digits than its factorization.

5200431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16742 (or 16732 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5200431300 is about 72114.0159747049. The cubic root of 5200431300 is about 1732.5261079379.

Adding to 5200431300 its reverse (31340025), we get a palindrome (5231771325).

The spelling of 5200431300 in words is "five billion, two hundred million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 353 450 706 900 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 8825 10590 12708 15885 16369 17650 21180 26475 31770 32738 35300 49107 52950 63540 65476 79425 81845 98214 105900 147321 158850 163690 196428 245535 294642 317700 327380 409225 491070 589284 736605 818450 982140 1227675 1473210 1636900 2455350 2946420 3683025 4910700 5778257 7366050 11556514 14732100 17334771 23113028 28891285 34669542 52004313 57782570 69339084 86673855 104008626 115565140 144456425 173347710 208017252 260021565 288912850 346695420 433369275 520043130 577825700 866738550 1040086260 1300107825 1733477100 2600215650 5200431300