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6240842001 = 3217215492
BaseRepresentation
bin1011100111111101…
…11011000100010001
3121002221020121210100
411303332323010101
5100240123421001
62511134523013
7310440165432
oct56376730421
917087217710
106240842001
112712879a69
121262066469
13785c52c24
14432bc3489
15267d5d586
hex173fbb111

6240842001 has 27 divisors (see below), whose sum is σ = 9582195441. Its totient is φ = 3913294464.

The previous prime is 6240841991. The next prime is 6240842029. The reversal of 6240842001 is 1002480426.

It can be divided in two parts, 6240 and 842001, that added together give a square (848241 = 9212).

The square root of 6240842001 is 78999.

It is a perfect power (a square), and thus also a powerful number.

6240842001 is digitally balanced in base 3, 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 4 ways, for example, as 106193025 + 6134648976 = 10305^2 + 78324^2 .

It is not a de Polignac number, because 6240842001 - 29 = 6240841489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6240842401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4028175 + ... + 4029723.

Almost surely, 26240842001 is an apocalyptic number.

6240842001 is the 78999-th square number.

6240842001 is the 39500-th centered octagonal number.

It is an amenable number.

6240842001 is a deficient number, since it is larger than the sum of its proper divisors (3341353440).

6240842001 is an equidigital number, since it uses as much as digits as its factorization.

6240842001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 6240842001 is about 1841.1156200157.

The spelling of 6240842001 in words is "six billion, two hundred forty million, eight hundred forty-two thousand, one".

Divisors: 1 3 9 17 51 153 289 867 1549 2601 4647 13941 26333 78999 236997 447661 1342983 2399401 4028949 7198203 21594609 40789817 122369451 367108353 693426889 2080280667 6240842001