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642476380 = 2257132231583
BaseRepresentation
bin100110010010110…
…110100101011100
31122202221011220111
4212102312211130
52303433221010
6143430255404
721630646660
oct4622664534
91582834814
10642476380
112aa730017
1215b1b7564
13a314b650
14614828a0
153b60d58a
hex264b695c

642476380 has 96 divisors (see below), whose sum is σ = 1669054464. Its totient is φ = 202293504.

The previous prime is 642476347. The next prime is 642476383. The reversal of 642476380 is 83674246.

It is a happy number.

642476380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642476383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405069 + ... + 406651.

It is an arithmetic number, because the mean of its divisors is an integer number (17385984).

Almost surely, 2642476380 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 642476380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834527232).

642476380 is an abundant number, since it is smaller than the sum of its proper divisors (1026578084).

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

642476380 is a wasteful number, since it uses less digits than its factorization.

642476380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 642476380 is about 25347.1177848686. The cubic root of 642476380 is about 862.8839452820.

The spelling of 642476380 in words is "six hundred forty-two million, four hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 223 260 364 446 455 892 910 1115 1561 1583 1820 2230 2899 3122 3166 4460 5798 6244 6332 7805 7915 11081 11596 14495 15610 15830 20293 20579 22162 28990 31220 31660 40586 41158 44324 55405 57980 81172 82316 101465 102895 110810 144053 202930 205790 221620 288106 353009 405860 411580 576212 706018 720265 1412036 1440530 1765045 2471063 2881060 3530090 4589117 4942126 7060180 9178234 9884252 12355315 18356468 22945585 24710630 32123819 45891170 49421260 64247638 91782340 128495276 160619095 321238190 642476380