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481714128 = 24347291831
BaseRepresentation
bin11100101101100…
…101111111010000
31020120102121120000
4130231211333100
51441304323003
6115444450000
714636334240
oct3455457720
91216377500
10481714128
11227a07a55
121153a9900
1378a51c5c
1447d95b20
152c4551a3
hex1cb65fd0

481714128 has 200 divisors, whose sum is σ = 1649239680. Its totient is φ = 132814080.

The previous prime is 481714111. The next prime is 481714183. The reversal of 481714128 is 821417184.

It is a super-2 number, since 2×4817141282 = 464097002229600768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 junction number, because it is equal to n+sod(n) for n = 481714092 and 481714101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262173 + ... + 264003.

Almost surely, 2481714128 is an apocalyptic number.

481714128 is a gapful number since it is divisible by the number (48) 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 481714128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824619840).

481714128 is an abundant number, since it is smaller than the sum of its proper divisors (1167525552).

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

481714128 is a wasteful number, since it uses less digits than its factorization.

481714128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1872 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 481714128 is about 21947.9868780715. The cubic root of 481714128 is about 783.9044465663.

The spelling of 481714128 in words is "four hundred eighty-one million, seven hundred fourteen thousand, one hundred twenty-eight".