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483945840 = 24345747227
BaseRepresentation
bin11100110110000…
…110110101110000
31020201121222220000
4130312012311300
51442342231330
6120004350000
714664320550
oct3466066560
91221558800
10483945840
112291a1744
121160a5300
13793539b1
14483b7160
152c746560
hex1cd86d70

483945840 has 400 divisors, whose sum is σ = 1970445312. Its totient is φ = 107785728.

The previous prime is 483945799. The next prime is 483945841. The reversal of 483945840 is 48549384.

It is a happy number.

483945840 is a `hidden beast` number, since 483 + 94 + 5 + 84 + 0 = 666.

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 (483945841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2131807 + ... + 2132033.

Almost surely, 2483945840 is an apocalyptic number.

483945840 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 483945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985222656).

483945840 is an abundant number, since it is smaller than the sum of its proper divisors (1486499472).

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

483945840 is a wasteful number, since it uses less digits than its factorization.

483945840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 483945840 is about 21998.7690564722. The cubic root of 483945840 is about 785.1131539322.

The spelling of 483945840 in words is "four hundred eighty-three million, nine hundred forty-five thousand, eight hundred forty".