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2006027856 = 243472311019
BaseRepresentation
bin111011110010001…
…1000111001010000
312011210200202220000
41313210120321100
513102020342411
6531020050000
7100465645500
oct16744307120
95153622800
102006027856
1193a394468
1247b993900
1325c7a7c41
141505c7a00
15bb1a3956
hex77918e50

2006027856 has 300 divisors, whose sum is σ = 6978660480. Its totient is φ = 554117760.

The previous prime is 2006027839. The next prime is 2006027857. The reversal of 2006027856 is 6587206002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2006027856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006027857) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1968115 + ... + 1969133.

Almost surely, 22006027856 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 2006027856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489330240).

2006027856 is an abundant number, since it is smaller than the sum of its proper divisors (4972632624).

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

2006027856 is a wasteful number, since it uses less digits than its factorization.

2006027856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2006027856 is about 44788.7023254749. The cubic root of 2006027856 is about 1261.1855508162.

The spelling of 2006027856 in words is "two billion, six million, twenty-seven thousand, eight hundred fifty-six".