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481423824 = 243573192
BaseRepresentation
bin11100101100011…
…111000111010000
31020112212212100000
4130230133013100
51441221030244
6115434330000
714634015000
oct3454370720
91215785300
10481423824
11227829932
12115289900
137897ca8b
1447d1c000
152c3e9169
hex1cb1f1d0

481423824 has 360 divisors, whose sum is σ = 1719681600. Its totient is φ = 130310208.

The previous prime is 481423819. The next prime is 481423837. The reversal of 481423824 is 428324184.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25338087 + ... + 25338105.

Almost surely, 2481423824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481423824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859840800).

481423824 is an abundant number, since it is smaller than the sum of its proper divisors (1238257776).

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

481423824 is an equidigital number, since it uses as much as digits as its factorization.

481423824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 481423824 is about 21941.3724274486. The cubic root of 481423824 is about 783.7469421368.

The spelling of 481423824 in words is "four hundred eighty-one million, four hundred twenty-three thousand, eight hundred twenty-four".