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2885308128 = 2535537001
BaseRepresentation
bin1010101111111010…
…0100111011100000
321110002012211200000
42223332210323200
521402114330003
61154150100000
7131333500023
oct25376447340
97402184600
102885308128
11125075477a
1268634a600
1336c9c8721
141d52ad1ba
1511d48b1a3
hexabfa4ee0

2885308128 has 144 divisors (see below), whose sum is σ = 8670772656. Its totient is φ = 943488000.

The previous prime is 2885308081. The next prime is 2885308169. The reversal of 2885308128 is 8218035882.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408628 + ... + 415628.

It is an arithmetic number, because the mean of its divisors is an integer number (60213699).

Almost surely, 22885308128 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 2885308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335386328).

2885308128 is an abundant number, since it is smaller than the sum of its proper divisors (5785464528).

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

2885308128 is an equidigital number, since it uses as much as digits as its factorization.

2885308128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 2885308128 is about 53715.0642557560. The cubic root of 2885308128 is about 1423.6308800039.

It can be divided in two parts, 288 and 5308128, that added together give a 4-th power (5308416 = 484).

The spelling of 2885308128 in words is "two billion, eight hundred eighty-five million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 243 288 318 324 424 432 477 486 636 648 848 864 954 972 1272 1296 1431 1696 1908 1944 2544 2592 2862 3816 3888 4293 5088 5724 7001 7632 7776 8586 11448 12879 14002 15264 17172 21003 22896 25758 28004 34344 42006 45792 51516 56008 63009 68688 84012 103032 112016 126018 137376 168024 189027 206064 224032 252036 336048 371053 378054 412128 504072 567081 672096 742106 756108 1008144 1113159 1134162 1484212 1512216 1701243 2016288 2226318 2268324 2968424 3024432 3339477 3402486 4452636 4536648 5936848 6048864 6678954 6804972 8905272 9073296 10018431 11873696 13357908 13609944 17810544 18146592 20036862 26715816 27219888 30055293 35621088 40073724 53431632 54439776 60110586 80147448 90165879 106863264 120221172 160294896 180331758 240442344 320589792 360663516 480884688 721327032 961769376 1442654064 2885308128