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483943680 = 28335111967
BaseRepresentation
bin11100110110000…
…110010100000000
31020201121212221000
4130312012110000
51442342144210
6120004332000
714664311343
oct3466062400
91221555830
10483943680
112291a0060
121160a4000
1379352a0c
14483b645a
152c745ac0
hex1cd86500

483943680 has 576 divisors, whose sum is σ = 2001484800. Its totient is φ = 109486080.

The previous prime is 483943637. The next prime is 483943687. The reversal of 483943680 is 86349384.

483943680 is a `hidden beast` number, since 483 + 94 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483943687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7223007 + ... + 7223073.

It is an arithmetic number, because the mean of its divisors is an integer number (3474800).

Almost surely, 2483943680 is an apocalyptic number.

483943680 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 483943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000742400).

483943680 is an abundant number, since it is smaller than the sum of its proper divisors (1517541120).

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

483943680 is a wasteful number, since it uses less digits than its factorization.

483943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 483943680 is about 21998.7199627615. The cubic root of 483943680 is about 785.1119858628. Note that the first 3 decimals are identical.

The spelling of 483943680 in words is "four hundred eighty-three million, nine hundred forty-three thousand, six hundred eighty".