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642495336 = 2337193143151
BaseRepresentation
bin100110010010111…
…011001101101000
31122202222010220120
4212102323031220
52303434322321
6143430523240
721631056150
oct4622731550
91582863816
10642495336
112aa74328a
1215b206520
13a3157172
1461489760
153b613ec6
hex264bb368

642495336 has 256 divisors, whose sum is σ = 2054553600. Its totient is φ = 163296000.

The previous prime is 642495323. The next prime is 642495397. The reversal of 642495336 is 633594246.

642495336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4254861 + ... + 4255011.

It is an arithmetic number, because the mean of its divisors is an integer number (8025600).

Almost surely, 2642495336 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 642495336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027276800).

642495336 is an abundant number, since it is smaller than the sum of its proper divisors (1412058264).

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

642495336 is a wasteful number, since it uses less digits than its factorization.

642495336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 642495336 is about 25347.4917102265. The cubic root of 642495336 is about 862.8924315432.

The spelling of 642495336 in words is "six hundred forty-two million, four hundred ninety-five thousand, three hundred thirty-six".