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2881473728 = 26719503673
BaseRepresentation
bin1010101110111111…
…1100110011000000
321102211000000212012
42223233330303000
521400124124403
61153531552052
7131256060020
oct25357746300
97384000765
102881473728
111249575951
12684bbb628
1336bc85353
141d4991a80
1511ce7eed8
hexabbfccc0

2881473728 has 112 divisors (see below), whose sum is σ = 6902622720. Its totient is φ = 1165860864.

The previous prime is 2881473703. The next prime is 2881473797. The reversal of 2881473728 is 8273741882.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4281200 + ... + 4281872.

It is an arithmetic number, because the mean of its divisors is an integer number (61630560).

Almost surely, 22881473728 is an apocalyptic number.

2881473728 is a gapful number since it is divisible by the number (28) 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 2881473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451311360).

2881473728 is an abundant number, since it is smaller than the sum of its proper divisors (4021148992).

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

2881473728 is a wasteful number, since it uses less digits than its factorization.

2881473728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 50.

The square root of 2881473728 is about 53679.3603538641. The cubic root of 2881473728 is about 1422.9999606571. Note that the first 4 decimals are identical.

The spelling of 2881473728 in words is "two billion, eight hundred eighty-one million, four hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 503 532 608 673 1006 1064 1216 1346 2012 2128 2692 3521 4024 4256 4711 5384 7042 8048 8512 9422 9557 10768 12787 14084 16096 18844 19114 21536 25574 28168 32192 37688 38228 43072 51148 56336 66899 75376 76456 89509 102296 112672 133798 150752 152912 179018 204592 225344 267596 301504 305824 338519 358036 409184 535192 611648 677038 716072 818368 1070384 1354076 1432144 2140768 2369633 2708152 2864288 4281536 4739266 5416304 5728576 6431861 9478532 10832608 12863722 18957064 21665216 25727444 37914128 45023027 51454888 75828256 90046054 102909776 151656512 180092108 205819552 360184216 411639104 720368432 1440736864 2881473728