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642903001 = 13294141593
BaseRepresentation
bin100110010100011…
…110101111011001
31122210201212010021
4212110132233121
52304040344001
6143443350441
721634404526
oct4624365731
91583655107
10642903001
112aa9a15a4
1215b382421
13a326a8a0
146155414d
153b694ba1
hex2651ebd9

642903001 has 16 divisors (see below), whose sum is σ = 733718160. Its totient is φ = 558996480.

The previous prime is 642902983. The next prime is 642903011. The reversal of 642903001 is 100309246.

It can be written as a sum of positive squares in 8 ways, for example, as 223472601 + 419430400 = 14949^2 + 20480^2 .

It is a cyclic number.

It is not a de Polignac number, because 642903001 - 213 = 642894809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642903011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5340 + ... + 36253.

It is an arithmetic number, because the mean of its divisors is an integer number (45857385).

Almost surely, 2642903001 is an apocalyptic number.

It is an amenable number.

642903001 is a deficient number, since it is larger than the sum of its proper divisors (90815159).

642903001 is a wasteful number, since it uses less digits than its factorization.

642903001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41676.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 642903001 is about 25355.5319605012. The cubic root of 642903001 is about 863.0748954718.

The spelling of 642903001 in words is "six hundred forty-two million, nine hundred three thousand, one".

Divisors: 1 13 29 41 377 533 1189 15457 41593 540709 1206197 1705313 15680561 22169069 49454077 642903001