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2852638720 = 2125197331
BaseRepresentation
bin1010101000000111…
…1101000000000000
321100210202001122221
42222001331000000
521320233414340
61151021540424
7130456012651
oct25201750000
97323661587
102852638720
111234270768
12677414714
13365cca709
141d0c07528
1511a68644a
hexaa07d000

2852638720 has 104 divisors (see below), whose sum is σ = 7206769440. Its totient is φ = 1080852480.

The previous prime is 2852638717. The next prime is 2852638721. The reversal of 2852638720 is 278362582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852638721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385455 + ... + 392785.

It is an arithmetic number, because the mean of its divisors is an integer number (69295860).

Almost surely, 22852638720 is an apocalyptic number.

2852638720 is a gapful number since it is divisible by the number (20) 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 2852638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603384720).

2852638720 is an abundant number, since it is smaller than the sum of its proper divisors (4354130720).

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

2852638720 is an equidigital number, since it uses as much as digits as its factorization.

2852638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 2852638720 is about 53410.0994194918. The cubic root of 2852638720 is about 1418.2373686128.

The spelling of 2852638720 in words is "two billion, eight hundred fifty-two million, six hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2048 2432 2560 3040 4096 4864 5120 6080 7331 9728 10240 12160 14662 19456 20480 24320 29324 36655 38912 48640 58648 73310 77824 97280 117296 139289 146620 194560 234592 278578 293240 389120 469184 557156 586480 696445 938368 1114312 1172960 1392890 1876736 2228624 2345920 2785780 3753472 4457248 4691840 5571560 7506944 8914496 9383680 11143120 15013888 17828992 18767360 22286240 30027776 35657984 37534720 44572480 71315968 75069440 89144960 142631936 150138880 178289920 285263872 356579840 570527744 713159680 1426319360 2852638720