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642342880 = 25519211297
BaseRepresentation
bin100110010010010…
…101111111100000
31122202200101210001
4212102111333200
52303414433010
6143423345344
721626552524
oct4622257740
91582611701
10642342880
112aa649793
1215b152254
13a310295a
1461449d84
153b5d3c3a
hex26495fe0

642342880 has 48 divisors (see below), whose sum is σ = 1597412880. Its totient is φ = 243412992.

The previous prime is 642342839. The next prime is 642342887. The reversal of 642342880 is 88243246.

642342880 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 (642342887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102609 + ... + 108688.

It is an arithmetic number, because the mean of its divisors is an integer number (33279435).

Almost surely, 2642342880 is an apocalyptic number.

It is an amenable number.

642342880 is an abundant number, since it is smaller than the sum of its proper divisors (955070000).

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

642342880 is a wasteful number, since it uses less digits than its factorization.

642342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211331 (or 211323 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 642342880 is about 25344.4842125461. The cubic root of 642342880 is about 862.8241749983.

The spelling of 642342880 in words is "six hundred forty-two million, three hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 211297 422594 845188 1056485 1690376 2112970 3380752 4014643 4225940 6761504 8029286 8451880 16058572 16903760 20073215 32117144 33807520 40146430 64234288 80292860 128468576 160585720 321171440 642342880