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642018104 = 237134611913
BaseRepresentation
bin100110010001000…
…110101100111000
31122202001220021022
4212101012230320
52303324034404
6143412402012
721624030620
oct4621065470
91582056238
10642018104
112aa447782
1215b016308
13a301ab90
14613a3880
153b56c8be
hex26446b38

642018104 has 64 divisors (see below), whose sum is σ = 1485570240. Its totient is φ = 253301760.

The previous prime is 642018103. The next prime is 642018121. The reversal of 642018104 is 401810246.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642018101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334652 + ... + 336564.

It is an arithmetic number, because the mean of its divisors is an integer number (23212035).

Almost surely, 2642018104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642018104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742785120).

642018104 is an abundant number, since it is smaller than the sum of its proper divisors (843552136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642018104 is a wasteful number, since it uses less digits than its factorization.

642018104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 642018104 is about 25338.0761700647. The cubic root of 642018104 is about 862.6787325176.

The spelling of 642018104 in words is "six hundred forty-two million, eighteen thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 461 728 922 1844 1913 3227 3688 3826 5993 6454 7652 11986 12908 13391 15304 23972 24869 25816 26782 41951 47944 49738 53564 83902 99476 107128 167804 174083 198952 335608 348166 696332 881893 1392664 1763786 3527572 6173251 7055144 11464609 12346502 22929218 24693004 45858436 49386008 80252263 91716872 160504526 321009052 642018104