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4683056000 = 2753741813
BaseRepresentation
bin1000101110010000…
…11100001110000000
3110002100222220010112
410113020130032000
534042330243000
62052410050452
7224023214330
oct42710341600
913070886115
104683056000
111a93510317
12aa8419a28
135982aa66c
14325d5b0c0
151c61ec235
hex11721c380

4683056000 has 128 divisors (see below), whose sum is σ = 13306887360. Its totient is φ = 1605580800.

The previous prime is 4683055961. The next prime is 4683056009. The reversal of 4683056000 is 6503864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4683056009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91094 + ... + 132906.

Almost surely, 24683056000 is an apocalyptic number.

4683056000 is a gapful number since it is divisible by the number (40) 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 4683056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653443680).

4683056000 is an abundant number, since it is smaller than the sum of its proper divisors (8623831360).

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

4683056000 is an equidigital number, since it uses as much as digits as its factorization.

4683056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41849 (or 41827 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 4683056000 is about 68432.8576051008. The cubic root of 4683056000 is about 1673.0533261982.

Adding to 4683056000 its reverse (6503864), we get a palindrome (4689559864).

The spelling of 4683056000 in words is "four billion, six hundred eighty-three million, fifty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 41813 56000 83626 112000 167252 209065 292691 334504 418130 585382 669008 836260 1045325 1170764 1338016 1463455 1672520 2090650 2341528 2676032 2926910 3345040 4181300 4683056 5226625 5352064 5853820 6690080 7317275 8362600 9366112 10453250 11707640 13380160 14634550 16725200 18732224 20906500 23415280 26760320 29269100 33450400 36586375 37464448 41813000 46830560 58538200 66900800 73172750 83626000 93661120 117076400 133801600 146345500 167252000 187322240 234152800 292691000 334504000 468305600 585382000 669008000 936611200 1170764000 2341528000 4683056000