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642095424 = 2635194153
BaseRepresentation
bin100110010001011…
…001100101000000
31122202012211100000
4212101121211000
52303334023144
6143414200000
721624502215
oct4621314500
91582184300
10642095424
112aa49a883
1215b053000
13a3047129
14613c3b0c
153b585769
hex26459940

642095424 has 336 divisors, whose sum is σ = 2096902080. Its totient is φ = 194088960.

The previous prime is 642095413. The next prime is 642095429. The reversal of 642095424 is 424590246.

642095424 is a `hidden beast` number, since 642 + 0 + 9 + 5 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642095429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12114982 + ... + 12115034.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2642095424 is an apocalyptic number.

642095424 is a gapful number since it is divisible by the number (64) 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 642095424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048451040).

642095424 is an abundant number, since it is smaller than the sum of its proper divisors (1454806656).

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

642095424 is a wasteful number, since it uses less digits than its factorization.

642095424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 642095424 is about 25339.6018911111. The cubic root of 642095424 is about 862.7133627156.

The spelling of 642095424 in words is "six hundred forty-two million, ninety-five thousand, four hundred twenty-four".