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642464010 = 23257138489
BaseRepresentation
bin100110010010110…
…011100100001010
31122202220112221100
4212102303210022
52303432322020
6143430122230
721630565626
oct4622634412
91582815840
10642464010
112aa7217a1
1215b1b0376
13a3145b26
146147c186
153b609a90
hex264b390a

642464010 has 24 divisors (see below), whose sum is σ = 1670406660. Its totient is φ = 171323712.

The previous prime is 642464003. The next prime is 642464023. The reversal of 642464010 is 10464246.

642464010 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 640 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 599417289 + 43046721 = 24483^2 + 6561^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3569155 + ... + 3569334.

Almost surely, 2642464010 is an apocalyptic number.

642464010 is an abundant number, since it is smaller than the sum of its proper divisors (1027942650).

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

642464010 is a wasteful number, since it uses less digits than its factorization.

642464010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138502 (or 7138499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 642464010 is about 25346.8737717297. The cubic root of 642464010 is about 862.8784073648.

The spelling of 642464010 in words is "six hundred forty-two million, four hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7138489 14276978 21415467 35692445 42830934 64246401 71384890 107077335 128492802 214154670 321232005 642464010