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2080858752 = 273271743353
BaseRepresentation
bin111110000000111…
…0110001010000000
312101000111120120200
41330001312022000
513230144440002
6542252005200
7102365002410
oct17401661200
95330446520
102080858752
11978654a85
124a0a60800
1327214858b
1415a506640
15c2a35b1c
hex7c076280

2080858752 has 384 divisors, whose sum is σ = 7435359360. Its totient is φ = 544997376.

The previous prime is 2080858733. The next prime is 2080858753. The reversal of 2080858752 is 2578580802.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2080858698 and 2080858707.

It is not an unprimeable number, because it can be changed into a prime (2080858753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5894608 + ... + 5894960.

It is an arithmetic number, because the mean of its divisors is an integer number (19362915).

Almost surely, 22080858752 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 2080858752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717679680).

2080858752 is an abundant number, since it is smaller than the sum of its proper divisors (5354500608).

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

2080858752 is a wasteful number, since it uses less digits than its factorization.

2080858752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2080858752 is about 45616.4307240275. The cubic root of 2080858752 is about 1276.6765083043.

The spelling of 2080858752 in words is "two billion, eighty million, eight hundred fifty-eight thousand, seven hundred fifty-two".