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483655680 = 21832541
BaseRepresentation
bin11100110101000…
…000000000000000
31020201002020212100
4130311000000000
51442303440210
6115554230400
714662001604
oct3465000000
91221066770
10483655680
11229013742
12115b85400
13792818c1
144833d504
152c6da5c0
hex1cd40000

483655680 has 228 divisors, whose sum is σ = 1717564212. Its totient is φ = 125829120.

The previous prime is 483655657. The next prime is 483655681. The reversal of 483655680 is 86556384.

483655680 is a `hidden beast` number, since 4 + 83 + 6 + 5 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 398721024 = 9216^2 + 19968^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1312 × 288 × 1280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483655681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11796460 + ... + 11796500.

Almost surely, 2483655680 is an apocalyptic number.

483655680 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 483655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858782106).

483655680 is an abundant number, since it is smaller than the sum of its proper divisors (1233908532).

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

483655680 is an frugal number, since it uses more digits than its factorization.

483655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 483655680 is about 21992.1731531925. The cubic root of 483655680 is about 784.9562121437.

It can be divided in two parts, 48365 and 5680, that added together give a palindrome (54045).

The spelling of 483655680 in words is "four hundred eighty-three million, six hundred fifty-five thousand, six hundred eighty".