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5200568352 = 253272368521
BaseRepresentation
bin1001101011111101…
…00110000000100000
3111102102210020121200
410311332212000200
541122321141402
62220014121200
7242606046600
oct46576460040
914372706550
105200568352
112229648a81
1210117b0200
1364b5847a5
14374990c00
1520687421c
hex135fa6020

5200568352 has 108 divisors (see below), whose sum is σ = 17203712526. Its totient is φ = 1485872640.

The previous prime is 5200568333. The next prime is 5200568353. The reversal of 5200568352 is 2538650025.

It is a happy number.

5200568352 is a `hidden beast` number, since 520 + 0 + 5 + 6 + 83 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4756033296 + 444535056 = 68964^2 + 21084^2 .

It is a super-2 number, since 2×52005683522 = 54091822367647991808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5200568353) 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, 170149 + ... + 198372.

Almost surely, 25200568352 is an apocalyptic number.

It is an amenable number.

5200568352 is an abundant number, since it is smaller than the sum of its proper divisors (12003144174).

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

5200568352 is a wasteful number, since it uses less digits than its factorization.

5200568352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368551 (or 368533 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5200568352 is about 72114.9662136786. The cubic root of 5200568352 is about 1732.5413274500.

The spelling of 5200568352 in words is "five billion, two hundred million, five hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 368521 737042 1105563 1474084 2211126 2579647 2948168 3316689 4422252 5159294 5896336 6633378 7738941 8844504 10318588 11792672 13266756 15477882 17689008 18057529 20637176 23216823 26533512 30955764 35378016 36115058 41274352 46433646 53067024 54172587 61911528 72230116 82548704 92867292 106134048 108345174 123823056 144460232 162517761 185734584 216690348 247646112 288920464 325035522 371469168 433380696 577840928 650071044 742938336 866761392 1300142088 1733522784 2600284176 5200568352