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2871356256 = 253318232
BaseRepresentation
bin1010101100100101…
…0110101101100000
321102002222000022000
42223021112231200
521340031400011
61152531044000
7131104061016
oct25311265540
97362860260
102871356256
1112438954aa
12681740600
13369b52192
141d34ba8b6
1511c132356
hexab256b60

2871356256 has 72 divisors (see below), whose sum is σ = 8379385560. Its totient is φ = 956593728.

The previous prime is 2871356233. The next prime is 2871356269. The reversal of 2871356256 is 6526531782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2871356256 is a `hidden beast` number, since 2 + 8 + 7 + 13 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1574161 + ... + 1575983.

It is an arithmetic number, because the mean of its divisors is an integer number (116380355).

Almost surely, 22871356256 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 2871356256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189692780).

2871356256 is an abundant number, since it is smaller than the sum of its proper divisors (5508029304).

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

2871356256 is an frugal number, since it uses more digits than its factorization.

2871356256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 1828 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2871356256 is about 53585.0376131248. The cubic root of 2871356256 is about 1421.3325215763.

The spelling of 2871356256 in words is "two billion, eight hundred seventy-one million, three hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1823 3646 5469 7292 10938 14584 16407 21876 29168 32814 43752 49221 58336 65628 87504 98442 131256 175008 196884 262512 393768 525024 787536 1575072 3323329 6646658 9969987 13293316 19939974 26586632 29909961 39879948 53173264 59819922 79759896 89729883 106346528 119639844 159519792 179459766 239279688 319039584 358919532 478559376 717839064 957118752 1435678128 2871356256