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481466016 = 25321671757
BaseRepresentation
bin11100101100101…
…001011010100000
31020112222000012200
4130230221122200
51441223403031
6115435253200
714634252003
oct3454513240
91215860180
10481466016
112278585a9
121152aa200
1378996045
1447d2d53a
152c4068e6
hex1cb296a0

481466016 has 36 divisors (see below), whose sum is σ = 1369169802. Its totient is φ = 160488576.

The previous prime is 481466009. The next prime is 481466021. The reversal of 481466016 is 610664184.

481466016 is a `hidden beast` number, since 4 + 8 + 1 + 46 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 475414416 + 6051600 = 21804^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 835591 + ... + 836166.

Almost surely, 2481466016 is an apocalyptic number.

It is an amenable number.

481466016 is an abundant number, since it is smaller than the sum of its proper divisors (887703786).

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

481466016 is a wasteful number, since it uses less digits than its factorization.

481466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671773 (or 1671762 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481466016 is about 21942.3338776895. Note that the first 3 decimals coincide. The cubic root of 481466016 is about 783.7698373374.

The spelling of 481466016 in words is "four hundred eighty-one million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1671757 3343514 5015271 6687028 10030542 13374056 15045813 20061084 26748112 30091626 40122168 53496224 60183252 80244336 120366504 160488672 240733008 481466016