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2020445856 = 253511132379
BaseRepresentation
bin111100001101101…
…1000111010100000
312012210211021200000
41320123120322200
513114213231411
6532253100000
7101032335462
oct17033307240
95183737600
102020445856
11947541970
12484787600
132627856c0
1415249c132
15bc5a0956
hex786d8ea0

2020445856 has 576 divisors, whose sum is σ = 7396945920. Its totient is φ = 533744640.

The previous prime is 2020445831. The next prime is 2020445887. The reversal of 2020445856 is 6585440202.

It is a happy number.

2020445856 is a `hidden beast` number, since 202 + 0 + 445 + 8 + 5 + 6 = 666.

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 2020445856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25575225 + ... + 25575303.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 22020445856 is an apocalyptic number.

2020445856 is a gapful number since it is divisible by the number (26) 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 2020445856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

2020445856 is an abundant number, since it is smaller than the sum of its proper divisors (5376500064).

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

2020445856 is a wasteful number, since it uses less digits than its factorization.

2020445856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2020445856 is about 44949.3699177196. The cubic root of 2020445856 is about 1264.1998629109.

The spelling of 2020445856 in words is "two billion, twenty million, four hundred forty-five thousand, eight hundred fifty-six".