Search a number
-
+
5465348200 = 2352132102057
BaseRepresentation
bin1010001011100001…
…01001100001101000
3112002220000110021201
411011300221201220
542143112120300
62302153213544
7252302456524
oct50560514150
915086013251
105465348200
112355056aa4
1210864012b4
136913a0560
1439bbd6d84
1521ec2766a
hex145c29868

5465348200 has 48 divisors (see below), whose sum is σ = 13684397580. Its totient is φ = 2017973760.

The previous prime is 5465348177. The next prime is 5465348249. The reversal of 5465348200 is 28435645.

It can be written as a sum of positive squares in 6 ways, for example, as 1022592484 + 4442755716 = 31978^2 + 66654^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5465348200.

It is an unprimeable number.

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, 1048429 + ... + 1053628.

Almost surely, 25465348200 is an apocalyptic number.

5465348200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5465348200 is an abundant number, since it is smaller than the sum of its proper divisors (8219049380).

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

5465348200 is a wasteful number, since it uses less digits than its factorization.

5465348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102086 (or 2102077 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 5465348200 is about 73927.9933448758. The cubic root of 5465348200 is about 1761.4592967549.

The spelling of 5465348200 in words is "five billion, four hundred sixty-five million, three hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 2102057 4204114 8408228 10510285 16816456 21020570 27326741 42041140 52551425 54653482 84082280 105102850 109306964 136633705 210205700 218613928 273267410 420411400 546534820 683168525 1093069640 1366337050 2732674100 5465348200