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483814400 = 2105218899
BaseRepresentation
bin11100110101100…
…110110000000000
31020201101022120212
4130311212300000
51442324030100
6120001453252
714663232416
oct3465466000
91221338525
10483814400
11229111a13
12116041228
1379308c14
14483812b6
152c71c635
hex1cd66c00

483814400 has 66 divisors (see below), whose sum is σ = 1199337300. Its totient is φ = 193515520.

The previous prime is 483814379. The next prime is 483814411. The reversal of 483814400 is 4418384.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16151 + ... + 35049.

Almost surely, 2483814400 is an apocalyptic number.

483814400 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 483814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599668650).

483814400 is an abundant number, since it is smaller than the sum of its proper divisors (715522900).

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

483814400 is a wasteful number, since it uses less digits than its factorization.

483814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18929 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 483814400 is about 21995.7814137166. The cubic root of 483814400 is about 785.0420684177.

The spelling of 483814400 in words is "four hundred eighty-three million, eight hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 18899 25600 37798 75596 94495 151192 188990 302384 377980 472475 604768 755960 944950 1209536 1511920 1889900 2419072 3023840 3779800 4838144 6047680 7559600 9676288 12095360 15119200 19352576 24190720 30238400 48381440 60476800 96762880 120953600 241907200 483814400