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642268031 = 2376936313
BaseRepresentation
bin100110010010000…
…011101101111111
31122202112121002212
4212102003231333
52303410034111
6143422011035
721626121356
oct4622035577
91582477085
10642268031
112aa5a8529
1215b116a7b
13a30a7872
146142a99d
153b5bb98b
hex26483b7f

642268031 has 8 divisors (see below), whose sum is σ = 671082720. Its totient is φ = 613527552.

The previous prime is 642267991. The next prime is 642268037. The reversal of 642268031 is 130862246.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 642268031 - 218 = 642005887 is a prime.

It is a super-4 number, since 4×6422680314 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642268037) 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 7 ways as a sum of consecutive naturals, for example, 470 + ... + 35843.

It is an arithmetic number, because the mean of its divisors is an integer number (83885340).

Almost surely, 2642268031 is an apocalyptic number.

642268031 is a deficient number, since it is larger than the sum of its proper divisors (28814689).

642268031 is a wasteful number, since it uses less digits than its factorization.

642268031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37105.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 642268031 is about 25343.0075365968. The cubic root of 642268031 is about 862.7906601694.

The spelling of 642268031 in words is "six hundred forty-two million, two hundred sixty-eight thousand, thirty-one".

Divisors: 1 23 769 17687 36313 835199 27924697 642268031