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642414301 = 1921779541
BaseRepresentation
bin100110010010100…
…111011011011101
31122202211000202021
4212102213123131
52303424224201
6143425100141
721630300664
oct4622473335
91582730667
10642414301
112aa698411
1215b187651
13a3129309
1461467ddb
153b5e9ea1
hex264a76dd

642414301 has 6 divisors (see below), whose sum is σ = 678005502. Its totient is φ = 608602680.

The previous prime is 642414299. The next prime is 642414307. The reversal of 642414301 is 103414246.

It can be written as a sum of positive squares in only one way, i.e., 567678276 + 74736025 = 23826^2 + 8645^2 .

It is not a de Polignac number, because 642414301 - 21 = 642414299 is a prime.

It is a super-2 number, since 2×6424143012 = 825392268258637202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642414307) 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 5 ways as a sum of consecutive naturals, for example, 889410 + ... + 890131.

It is an arithmetic number, because the mean of its divisors is an integer number (113000917).

Almost surely, 2642414301 is an apocalyptic number.

It is an amenable number.

642414301 is a deficient number, since it is larger than the sum of its proper divisors (35591201).

642414301 is a wasteful number, since it uses less digits than its factorization.

642414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779579 (or 1779560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 642414301 is about 25345.8931781857. The cubic root of 642414301 is about 862.8561524585.

Adding to 642414301 its reverse (103414246), we get a palindrome (745828547).

The spelling of 642414301 in words is "six hundred forty-two million, four hundred fourteen thousand, three hundred one".

Divisors: 1 19 361 1779541 33811279 642414301