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2857807872 = 2123325841
BaseRepresentation
bin1010101001010110…
…1011000000000000
321101011110200102000
42222111223000000
521323044322442
61151324424000
7130550652243
oct25225530000
97334420360
102857807872
111237181397
126790a8000
133670ba49a
141d179125a
1511ad57d4c
hexaa56b000

2857807872 has 104 divisors (see below), whose sum is σ = 8466872880. Its totient is φ = 952565760.

The previous prime is 2857807861. The next prime is 2857807873. The reversal of 2857807872 is 2787087582.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2857807873) 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 7 ways as a sum of consecutive naturals, for example, 97672 + ... + 123512.

Almost surely, 22857807872 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 2857807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233436440).

2857807872 is an abundant number, since it is smaller than the sum of its proper divisors (5609065008).

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

2857807872 is an equidigital number, since it uses as much as digits as its factorization.

2857807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25874 (or 25846 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 2857807872 is about 53458.4686649365. The cubic root of 2857807872 is about 1419.0934953526.

The spelling of 2857807872 in words is "two billion, eight hundred fifty-seven million, eight hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 25841 27648 36864 51682 55296 77523 103364 110592 155046 206728 232569 310092 413456 465138 620184 697707 826912 930276 1240368 1395414 1653824 1860552 2480736 2790828 3307648 3721104 4961472 5581656 6615296 7442208 9922944 11163312 13230592 14884416 19845888 22326624 26461184 29768832 39691776 44653248 52922368 59537664 79383552 89306496 105844736 119075328 158767104 178612992 238150656 317534208 357225984 476301312 714451968 952602624 1428903936 2857807872