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642107253 = 31037512767
BaseRepresentation
bin100110010001011…
…100011101110101
31122202020102120010
4212101130131311
52303334413003
6143414330433
721624551544
oct4621343565
91582212503
10642107253
112aa4a8757
1215b059a19
13a304c628
14613c815b
153b589003
hex2645c775

642107253 has 16 divisors (see below), whose sum is σ = 865918976. Its totient is φ = 423198000.

The previous prime is 642107233. The next prime is 642107269. The reversal of 642107253 is 352701246.

It is a de Polignac number, because none of the positive numbers 2k-642107253 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 642107253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642107203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230676 + ... + 233442.

It is an arithmetic number, because the mean of its divisors is an integer number (54119936).

Almost surely, 2642107253 is an apocalyptic number.

It is an amenable number.

642107253 is a deficient number, since it is larger than the sum of its proper divisors (223811723).

642107253 is a wasteful number, since it uses less digits than its factorization.

642107253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 642107253 is about 25339.8352993858. The cubic root of 642107253 is about 862.7186604607.

Adding to 642107253 its reverse (352701246), we get a palindrome (994808499).

The spelling of 642107253 in words is "six hundred forty-two million, one hundred seven thousand, two hundred fifty-three".

Divisors: 1 3 103 309 751 2253 2767 8301 77353 232059 285001 855003 2078017 6234051 214035751 642107253