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483982000 = 2453892719
BaseRepresentation
bin11100110110001…
…111101010110000
31020201200211111021
4130312033222300
51442344411000
6120005225224
714664531145
oct3466175260
91221624437
10483982000
11229216927
12116102214
13793672a8
14483c63cc
152c75211a
hex1cd8fab0

483982000 has 80 divisors (see below), whose sum is σ = 1183852800. Its totient is φ = 191347200.

The previous prime is 483981997. The next prime is 483982007. The reversal of 483982000 is 289384.

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

It is not an unprimeable number, because it can be changed into a prime (483982007) 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, 176641 + ... + 179359.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 2483982000 is an apocalyptic number.

483982000 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 483982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591926400).

483982000 is an abundant number, since it is smaller than the sum of its proper divisors (699870800).

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

483982000 is a wasteful number, since it uses less digits than its factorization.

483982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 483982000 is about 21999.5909052873. The cubic root of 483982000 is about 785.1327077626.

The spelling of 483982000 in words is "four hundred eighty-three million, nine hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 712 890 1000 1424 1780 2000 2225 2719 3560 4450 5438 7120 8900 10876 11125 13595 17800 21752 22250 27190 35600 43504 44500 54380 67975 89000 108760 135950 178000 217520 241991 271900 339875 483982 543800 679750 967964 1087600 1209955 1359500 1935928 2419910 2719000 3871856 4839820 5438000 6049775 9679640 12099550 19359280 24199100 30248875 48398200 60497750 96796400 120995500 241991000 483982000