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483412800 = 263521361127
BaseRepresentation
bin11100110100000…
…100101101000000
31020200121220200210
4130310010231000
51442223202200
6115545114120
714656640523
oct3464045500
91220556623
10483412800
11228968212
12115a88940
13791c81a0
14482b8bba
152c68d650
hex1cd04b40

483412800 has 336 divisors, whose sum is σ = 1749665792. Its totient is φ = 116121600.

The previous prime is 483412777. The next prime is 483412819. The reversal of 483412800 is 8214384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3806337 + ... + 3806463.

Almost surely, 2483412800 is an apocalyptic number.

483412800 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 483412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874832896).

483412800 is an abundant number, since it is smaller than the sum of its proper divisors (1266252992).

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

483412800 is a wasteful number, since it uses less digits than its factorization.

483412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 483412800 is about 21986.6504952437. The cubic root of 483412800 is about 784.8247949014.

The spelling of 483412800 in words is "four hundred eighty-three million, four hundred twelve thousand, eight hundred".