Search a number
-
+
5142256200 = 2332522856809
BaseRepresentation
bin1001100101000000…
…01001101001001000
3111021101001200101100
410302200021221020
541012404144300
62210132221400
7241300312404
oct46240115110
914241050340
105142256200
1121a9740214
12bb616a860
1363c478b63
1436ad32104
152016a6700
hex132809a48

5142256200 has 72 divisors (see below), whose sum is σ = 17269416450. Its totient is φ = 1371267840.

The previous prime is 5142256199. The next prime is 5142256201. The reversal of 5142256200 is 26522415.

5142256200 is a `hidden beast` number, since 5 + 14 + 2 + 25 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5142256199) and next prime (5142256201).

It can be written as a sum of positive squares in 3 ways, for example, as 2821521924 + 2320734276 = 53118^2 + 48174^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5142256201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1426605 + ... + 1430204.

Almost surely, 25142256200 is an apocalyptic number.

5142256200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5142256200 is an abundant number, since it is smaller than the sum of its proper divisors (12127160250).

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

5142256200 is a wasteful number, since it uses less digits than its factorization.

5142256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856831 (or 2856819 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5142256200 is about 71709.5265637698. The cubic root of 5142256200 is about 1726.0415134398.

Adding to 5142256200 its reverse (26522415), we get a palindrome (5168778615).

The spelling of 5142256200 in words is "five billion, one hundred forty-two million, two hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2856809 5713618 8570427 11427236 14284045 17140854 22854472 25711281 28568090 34281708 42852135 51422562 57136180 68563416 71420225 85704270 102845124 114272360 128556405 142840450 171408540 205690248 214260675 257112810 285680900 342817080 428521350 514225620 571361800 642782025 857042700 1028451240 1285564050 1714085400 2571128100 5142256200