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2855488000 = 295344617
BaseRepresentation
bin1010101000110011…
…0100101000000000
321101000002211010211
42222030310220000
521322001104000
61151203003504
7130522150621
oct25214645000
97330084124
102855488000
111235937442
12678369594
13366787591
141d1349a48
1511aa4a7ba
hexaa334a00

2855488000 has 80 divisors (see below), whose sum is σ = 7120497384. Its totient is φ = 1142169600.

The previous prime is 2855487991. The next prime is 2855488021. The reversal of 2855488000 is 8845582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 313714944 + 2541773056 = 17712^2 + 50416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 41692 + ... + 86308.

Almost surely, 22855488000 is an apocalyptic number.

2855488000 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 2855488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560248692).

2855488000 is an abundant number, since it is smaller than the sum of its proper divisors (4265009384).

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

2855488000 is an frugal number, since it uses more digits than its factorization.

2855488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44650 (or 44624 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 2855488000 is about 53436.7663692331. The cubic root of 2855488000 is about 1418.7094006637.

The spelling of 2855488000 in words is "two billion, eight hundred fifty-five million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 44617 64000 89234 178468 223085 356936 446170 713872 892340 1115425 1427744 1784680 2230850 2855488 3569360 4461700 5577125 5710976 7138720 8923400 11154250 11421952 14277440 17846800 22308500 22843904 28554880 35693600 44617000 57109760 71387200 89234000 114219520 142774400 178468000 285548800 356936000 571097600 713872000 1427744000 2855488000