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642313056 = 253711312803
BaseRepresentation
bin100110010010001…
…110101101100000
31122202121212212110
4212102032231200
52303413004211
6143422555320
721626366550
oct4622165540
91582555773
10642313056
112aa629340
1215b138b40
13a30c21c8
146143d160
153b5c9ea6
hex2648eb60

642313056 has 192 divisors, whose sum is σ = 2170699776. Its totient is φ = 161395200.

The previous prime is 642313003. The next prime is 642313097. The reversal of 642313056 is 650313246.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 227751 + ... + 230553.

It is an arithmetic number, because the mean of its divisors is an integer number (11305728).

Almost surely, 2642313056 is an apocalyptic number.

642313056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085349888).

642313056 is an abundant number, since it is smaller than the sum of its proper divisors (1528386720).

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

642313056 is a wasteful number, since it uses less digits than its factorization.

642313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 642313056 is about 25343.8958331193. The cubic root of 642313056 is about 862.8108211405.

The spelling of 642313056 in words is "six hundred forty-two million, three hundred thirteen thousand, fifty-six".